Assigning properties using RTTI without knowing what type the property is

I have some object newObject with unknown properties and I want to be able to assign values to its properties without knowing what type the property is.

The best I can do so far is

vCtx := TRttiContext.Create;
vType := vCtx.GetType(newObject.ClassType);

for vProp in vType.GetProperties do
begin    
    vPropValue := 'Test Value';

    val := TValue.From<String>( vPropValue);

    vProp.SetValue( newObject , val );
end;

Of course, this assumes that the properties are of type string

How do I make this more general?