Purple Whale Foodstuffs Inc. is considering investing $$600,000$ in a project that is expected to generate the following net cash flows: Year Cash Flow Year $1$ $$300,000$ Year $2$ $$500,000$ Year $3$ $$400,000$ Year $4$ $$400,000$ Purple Whale uses a WACC of $9\%$ when evaluating proposed capital budgeting projects. Based on these cash flows, determine this project's PI $($rounded to four decimal places$).$