You cannot.
Unless you know the percentage of each metal involved.
You have three metals, you can figure density of two metals in an alloy, and get a fairly accurate idea of each of the two metals proportions involved, but with more than two metals unless you know the percentage of each metal involved it would just be a guess, too many variable combinations, if this is a coin and you could look up the composition of the coin and it could be done or at least you could come closer in your tests, or if a jeweler told you the composition.
Jewelry density charts, and common alloy mix for a certain type of karat gold may help give you an idea or a ballpark range.
They make density charts for common karate jewelry, that can give you somewhat of a clue to if your measurements come close, but even using these look to me to be somewhat of a guessing game.
I have studied only a little bit in this area, so others with more knowledge may be able to answer your question better.