You are offered an investment with returns of $$1,334$ in year $1,$$$3,182$ in year $2,$ and $$5,960$ in year $3.$ The investment will cost you $$5,176$ today. If the appropriate Cost of Capital $($quoted interest rate$)$ is $6\mathrm{.}0\%,$ what is the Profitability Index of the investment? Enter your answer to the nearest $\mathrm{.}01.$