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Suppose that a project has an upfront cost of $$135,000$ and lasts $4$ years, with no residual value. The relevant cash flows from the project are estimated to be:

End of Year $1$: $$53,000$

End of Year $2$: $$48,000$

End of Year $3$: $$45,000$

End of Year $4$: $$37,000$

Suppose that the net present value of this project is deemed to be $-$$$4,374.$

Given the information above, what is the profitability index $($PI$)$ for this set of cash flows? $($ROUNDED TO $3$ decimal places, i$.$e$.1\mathrm{.}265)?$

Profitability Index $=$