Everyone with a Chromecast now a days should have AllCast from ClockworkMod (Koushik Dutta) . The application was released back in December and has consistently been gaining more and more functions and features since its release. It seems like every couple of days there is another update to the app that fixes something or adds in more support for something else.
The most recent update that started rolling out offers up a streaming from your Google Drive account to your
Chromecast. The new addition is listed as a ‘beta’, so you might find various issues arise depending on the file, your device or your network. Nothing is perfect, but things are getting better and better every day. For instance, when you open up your Drive account through AllCast, you get a grid view of EVERYTHING in your Drive account. Fortunately, Koushik is working on folder support and it is expected in the next update.
AllCast is free to try out and you get 1 minute stream times to see what you think. If you want to be unrestricted then be prepared for a a quick purchase price of $4.99.