Final answer:
The amount of the third check is $169.55.
Step-by-step explanation:
To find the amount of the third check, we need to set up an equation using the given information. Let's denote the amount of the third check as 'x'. The total deposit can be expressed as the sum of the three checks and the cash and coins deposited:
x + 416.32 + 509.85 + 72.00 + 41.50 = 1209.22
Simplifying the equation, we get:
x = 1209.22 - (416.32 + 509.85 + 72.00 + 41.50)
x = 1209.22 - 1039.67
x = 169.55
Therefore, the amount of the third check is $169.55.