Finding the Fourth Proportional to 9,662.24, 14,492.89 and 5,661.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.24 : 14,492.89 = 5,661.85 : x
2. Step 2: Convert to fraction form
   9,662.24/14,492.89 = 5,661.85/x
3. Step 3: Cross multiply
   9,662.24x = 14,492.89 × 5,661.85
4. Step 4: Simplify right side
   9,662.24x = 82,056,567.27
5. Step 5: Solve for x
   x = 82,056,567.27/9,662.24
6. Step 6: Final answer
   x = 8,492.50