$12.$ You are negotiating to make a $6-$year loan of $$40,000$ to Breck Inc. To repay you, Breck has agreed to pay $$5,000$ at the

end of Year $1,$ $$10,000$ at the end of Year $2,$ and $$15,000$ at the end of Year $3,$ plus a fixed but currently unspecified cash

flow, $$X$,$ at the end of each year from Year $4$ through Year $6.$ Breck is essentially riskless, so you are confident the

payments will be made. You regard $8\%$ as an appropriate rate of return on a low risk but illiquid $6-$year loan. What cash

flow must the investment provide at the end of each of the final $3$ years to satisfy your return requirement? $($i$.$e$.$ what is

$$X$?)$

Answer: $$7,278\mathrm{.}14$

Please provide step by step Solution as well as how to solve manually on a Financial Calculator.