Found this application on the Google Play Store from the company that creates the helpful remote access software called Teamviewer. It is similar to Logmein and Gotomypc. I have used it for years to perform remote support of peoples PC's, I have even used their existing Android app for this purpose. But they have an application that allows access and control of Samsung Android phones from a PC. I have used it on my Galaxy S3 and think it is pretty cool. It is a little slow but overall is responsive enough to be useful.

Here are links to the app on the Google Play store, their website, and a link to a video I put up on YouTube that demonstrates the program. By the way, I am not affiliated with Teamviewer, I have just enjoyed using their products. Hope the program works for you and you find it useful or just fun to play with.