Setesh of Kanaan's new pyramid project has expected cash inflows, starting with year $1$ of $$1,600,$ $$3,500,$ $$5,800,$ and finally in year four, $$8,400.$ The profitability index is $1\mathrm{.}51$ and the discount rate is $10\mathrm{.}7$ percent. What is the initial cost of the project?