$14.$ Entertainer$$s Aid plans five annual colossal concerts, each in a different nation$$s capital. The concerts will raise funds for

an endowment which would provide the World Wide Hunger Fund with $$3,000,000$ per year into perpetuity. The

endowment will be given at Year $6.$ The rate of interest is expected to be $9\%$ compounded annually. How much must

Entertainer$$s Aid deposit each year $($Year $1$ through Year $5)$ to accumulate to the required amount?

Answer: $$5,569,749$

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