Finding the Fourth Proportional to 22,849.92, 31,532.67 and 12,778.24

Step by Step Solution

1. Step 1: Write the proportion equation
   22,849.92 : 31,532.67 = 12,778.24 : x
2. Step 2: Convert to fraction form
   22,849.92/31,532.67 = 12,778.24/x
3. Step 3: Cross multiply
   22,849.92x = 31,532.67 × 12,778.24
4. Step 4: Simplify right side
   22,849.92x = 402,932,025.10
5. Step 5: Solve for x
   x = 402,932,025.10/22,849.92
6. Step 6: Final answer
   x = 17,633.85