Finding the Fourth Proportional to 9,622.52, 13,280.24 and 5,645.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,622.52 : 13,280.24 = 5,645.16 : x
2. Step 2: Convert to fraction form
   9,622.52/13,280.24 = 5,645.16/x
3. Step 3: Cross multiply
   9,622.52x = 13,280.24 × 5,645.16
4. Step 4: Simplify right side
   9,622.52x = 74,969,079.64
5. Step 5: Solve for x
   x = 74,969,079.64/9,622.52
6. Step 6: Final answer
   x = 7,791.00