Download script from aiscripts.com
Open the zip file and grab the .jsx file to your illustrator Scripts folder (located inside the software installed directory, See examples).
C:\Program Files (x86)\Adobe\Adobe Illustrator CS4\Presets\en_US\Scripts
C:\Program Files\Adobe\Adobe Illustrator CC 2015\Presets\en_US\Scripts
Now open up illustrator with the file containg your object, Select the object and go to (se below)
File > Scripts > fitObjectToArtboard_v2
Keep in mind the input field doesn't really work, maybe in the future.
You may notice there are 2 copies of the object now, the script copies the selected object and re-paste it to the artboard fitting the screen.