We have some assets in three different countries at the moment, and are about to move to a fourth country... This makes us sound a bit more... high flying than we are... But it does mean we have to keep track of assets in multiple locations. Like Linda_Norway said, we keep a spreadsheet that tracks each asset in its own currency.
In addition, although I don't fuss too much over the exact total, I do also keep one running tally that grabs the total from each country, and applies a sort of low-ball average currency exchange rate to each one, to give me a rough sense of what it would add up to if we suddenly needed to pull it all together into the currency of the country where we will be living. I did realise the other day, though, that this rough tally was somewhat misleading - I was running some numbers in preparation for our move, and realised that, if I applied a more realistic exchange rate, we were much closer to our main FIRE figure than my rough tally shows - not because exchange rates are unusually good right now or anything, but just because I built a little too much pessimism into my rough estimate equation...