Done. I can't save the file for you because I'm using a newer version of c4d and the scene might not open with an older version. However, the setup is super simple.
Create a shadow catcher material and assign that to the desktop (plane), create a sky and put the original mat from the desktop (plane) on that. In the shadowcatcher settings, change the mode to environment and drag the sky in there, lastly in the shadowcatcher change the alpha mode to for compositing.