A project requires an initial cash flow of $-$$$514,000$ that is expected to be followed by a series of $$316,000$ annual inflows in years $1$ through $7.$ Because the firm has a limited number of engineers that it can employ on new projects this year, management would like to assess a profitability index that represents the current project's NPV per engineer employed. The project requires $11$ engineers, and the appropriate cost of capital is $10\%.$ Compute the profitability index for this project, and round your answer to the nearest dollar. Be sure to use a negative sign $(-)$ if your answer is a negative number.