.NET Casting Issue

gistfile1.cs

public abstract class Base
{
 // ..
}

public class Impl1 : Base
{
 // ..
}

public class Impl2 : Base
{
  // ..
}

public class Builder
{
  private readonly IEnumerable<Base> _types;
  public Builder(IEnumerable<Base> types)
  {
    _types = types;
  }

  public void DoStuff(dynamic instance, string typeName)
  {
    var type = _types.FirstOrDefault(t => t.Name.Equals(typeName));
    var castableType = type.GetType();

    // is there any way to cast to the type provided in castableType?
    var castedObject = (castableType)instance;
  }
}

Probably worth noting.. Types are injected using DI

Thanks for helping :)

Did you end up using System.Convert.ChangeType?