The best remote control app TeamViewer has been updated to version 7.0.632 with ability to transfer files from mobile device to any computer and vice versa.
The app allows you to remotely access your computer screen from Android mobile device and vice versa. TeamViewer works perfectly with Linux, Mac or Windows, you can get access, even if your PC has a firewall or behind a proxy server. You can almost fully control the computer.

The main advantage of TeamViewer remote Control is the ability to transfer any documents, images or media files from a computer to Android-powered device and back. The process of file transfer is carried out by a fully secure channel and you do not have to worry for the safety and integrity of the content while transfer process going on.
Yeah, TeamViewer is a nice remote desktop support tool but security of hosted services is an issue. Have a look at a recent article on data hack http://www.bbc.com/news/technology-36459015 Instead, I would recommend use of on premise R-HUB remote support servers. It works from behind your corporate firewall, hence better security.