Unfortunately, this is not possible. Reflector 4 is designed to screen mirror/cast an iOS or Android device to your Mac or Windows PC. Reflector 4 can only receive AirPlay and Cast connections, but cannot send them to AirPlay/Cast receivers such as Apple TV and Google Chromecast devices. These are limitations that Reflector 4 is bound to.
Need to present your iOS or Android device at work or school? Check out Ditto screen mirroring instead.