Cast base class to generic class of T

i have a base class called Event which is inherited by Generic class type called RequestModel now i have to convert base class object to derived class without knowing type of "T" in request model. Following is the thing that i have done. Thank you in advance for helping.

     public class RequestModel<T>:Event
      {
        public Guid Id { get; set; }
        public T Model{ get; set; }
        public string IpAddress { get; set; }
        public string EntityType => typeof(T).ToString();

        public override Type RequestEntityType { get { return typeof(T); }}
        public UserDataViewModel UserData { get; set; }
        public string Url { get; set; }
        public DateTime LogDate { get; set; }


        public RequestModel()
        {
            Id = Guid.NewGuid();


        }


    }

    public abstract class Event
    {

        public abstract Type RequestEntityType { get;  }
    }

i have collection of event class where i add RequestModel

 public List<Event> AllEvents = new List<Event>();

Here is the function where i get each event out of collection

  public void RunLogEvent()
        {
            foreach (var eventItem in AllEvents)
            {

                try
                {


                    var mappedData = MapData(eventItem);
                    _creditCardLogService.Add(mappedData);



                }
                catch (Exception ex)
                {

                    continue;
                }



            }
            _unitOfWork.Commit();
        }

Here is the MapData function where is type conversion to which i actually need to convert event object to RequestModel object

 private CreditCardLog MapData(Event request)
        {


            var b = Activator.CreateInstance(request.RequestEntityType);

            var a = CastToMyType(b, request);

            var serializer = new JavaScriptSerializer();
            var returnData = new CreditCardLog()
            {
                AppraisalFormID = ApparisalId,
                CreatedBy =null ,
                CreatedDate = a.LogDate,
                LogID = a.Id,
                Data = serializer.Serialize(a.Model)

            };
            //return returnData;
            return returnData;

        }

    public  RequestModel<T> CastToMyType<T>(T NeededType, object givenObject) where T : class
        {


            var newObject = givenObject as RequestModel<T>;
            return newObject;
        }

last function CastToMyType is the casting function which i desperiately need to cast object to RequestModel type which i am right now unable to do so please if anyone could help it will be great. thank you.