Rangers have been scouring CCTV footage in a bid to punish the spectator who struck Burt on the back of his neck with a missile moments before the end of Saturday's 2-1 victory at Loftus Road.
The Football Association is understood to be aware of the incident - which occurred after Burt awarded Arsenal a stoppage-time free-kick in front of the Ellerslie Road Stand - and is supporting efforts by QPR and the police to bring the perpetrator to justice.
Rangers said in a statement on their official website: "The club is aware of a coin-throwing incident that took place in the latter stages of Saturday's home fixture against Arsenal at Loftus Road.
"The club are now in the process of reviewing CCTV in an effort to identify those people responsible and will take the appropriate action once this process has been completed.
"QPR supporters are reminded that this is a very serious offence and anyone caught throwing an object onto the pitch - towards officials or players - will be issued with an immediate lifetime ban from Loftus Road."