What is the profitability index of a project that costs $$8,000$ and provides cash flows of $$2,200$ in years $1$ and $2$ and $$4,200$ in years $3$ and $4?$ The discount rate is $9\%.$

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

$\backslash$table$[[$Profitability index,$1\mathrm{.}2611]]$