Was the G4 and receiver on the inventory list in hospital? If so then make sure they are aware it is missing and try to get them to pay for it. Especially if the insisted you could not use it or confiscated it on admission.
Just curious, when you were check in the hospital, they did do a check list of items that were on you when you were admitted? Usually there is a form that would list your clothes, watch, money, wallet, other valuables, ect. If you have you Dexcom listed then I think they could be held accountable. I know when ppls dentures get lost or thrown in the trash by accident, I think they hospital reimburses the patient for the cost. I would contact the nursing using you were on and talk with the charge nurse to see if you could get reimbursed...if you have no luck with charge nurse....find the unit manager. Good luck!
If u have renters or homeowners insurance or bought dex on a credit card you may have theft insurance even outside the home. You can also try Telling hospital managment you are filing are police report (they hate those) and they may want to avoid bad publicity and pay up. Not sure where you live, but in NYC there is crime victims board that can help pay for things like this if you report it stolen from the hospital - I would stick with saying it was stolen, since if you entered the hospital with it and it wasn't with your stuff when you left and it can't walk away by itself I doubt you "lost it" while lying in the hospital. Good luck and I hope you feel better