What is the profitability index of a project that costs $$8,000$ and provides cash flows of $$2,400$ in years $1$ and $2$ and $$4,400$ in years $3$ and $4?$ The discount rate is $10\%.$

Note: Do not round intermediate calculations. Round your answer to $4$ decimal places.

PS the answer is not $1\mathrm{.}3095$