Kingbird Company purchased a piece of equipment at the beginning of $2022.$ The equipment cost $$402,120.$ It has an estimated service life of $8$ years and an expected salvage value of $$66,960.$ The sum$-$of$-$the$-$years'$-$digits method of depreciation is being used. Someone has already correctly prepared a depreciation schedule for this asset. This schedule shows that $$55,860$ will be depreciated for a particular calendar year.

Determine for what particular year the depreciation amount for this asset will be $$55,860.$

Year of depreciation