It depends on which model of Kindle and TV you have really.
The Kindle Fire HD has a micro HDMI output which can be plugged into an HD television. If that's possible withyour device, then here's a video that should help:
You may also want to check out a "casting" app called Avia (aviatheapp.com/) which allows you to cast streaming video to devices such as Roku, Chromecast, Apple TV etc...