Fans Company has two service departments $$ product design and engineering support, and two production departments $$ assembly and finishing. The distribution of each service department's efforts to the other departments is shown below:

SERVICE DEPARTMENT SERVICES PROVIDED TO

Design Support Assembly Finishing

Product Design $0\%10\%30\%60\%$

Engineering Support $20\%0\%45\%35\%$

The direct operating costs of the departments $($including both variable and fixed costs$)$ were as follows:

Product Design $ $120,000$

Engineering Support $ $180,000$

Assembly $ $530,000$

Finishing $ $740,000$

The total cost accumulated in the assembly department using the reciprocal method is $($calculate all ratios and percentages to $4$ decimal places, for example $33\mathrm{.}3333\%,$ and round all dollar amounts to the nearest whole dollar$)$:

Multiple Choice

$$959,490.$

$$904,082.$

$$1,786,633.$

$$610,510.$

$$665,918.$