Haven only seen this thread today, I was going to suggest the transfer case. We had the same over a couple of occasions although in our case the shaking was coming from the front. On both occasions (and this happened within 6-months of each other when the car was about 3.5 years/65,000km old) the dealer simply flushed the transfer case. Done under warranty and didn't cost me anything. At the time I was told it was common issue with the F25 X3 - although nowhere near as bad as the transfer case issues that plagued the E83 X3.
Given the transfer case is supposed to be a "sealed for life" item - I'd be pressing for no cost.
Tony
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