Sigma t is force of interest. Please show all equations of value and other work, and dont just plug into a computer program.

4. (25 points) Assuming that 8(t) = 2(1+t)-1, a payment of 300 at the end of 3 years and 600 at the end of 6 years has the same present value as a payment of 200 at the end of 2 years and X at the end of 5 years. Calculate X