4217 = 600 [ (1+i)^6 - 1 ] / i
Very difficult to solve this algebraically.....WolframAlpha shows that i ≈ .063 = 6.3%
As I said.....this is very difficult to solve by hand.......
You will end up with this equation :
600 i^5 + 3600 i^4 + 9000 i^3 + 12000 i^2 + 9000 i - 617 = 0
I think there is a general form for solving this, but I don't know what it is.....(probably very involved !!! )
So.....technology seems the way to go