Finding the Fourth Proportional to 9,165.54, 12,653.49 and 5,766.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.54 : 12,653.49 = 5,766.18 : x
2. Step 2: Convert to fraction form
   9,165.54/12,653.49 = 5,766.18/x
3. Step 3: Cross multiply
   9,165.54x = 12,653.49 × 5,766.18
4. Step 4: Simplify right side
   9,165.54x = 72,962,300.97
5. Step 5: Solve for x
   x = 72,962,300.97/9,165.54
6. Step 6: Final answer
   x = 7,960.50