Finding the Fourth Proportional to 16,564.71, 22,859.90 and 9,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,564.71 : 22,859.90 = 9,492.50 : x
2. Step 2: Convert to fraction form
   16,564.71/22,859.90 = 9,492.50/x
3. Step 3: Cross multiply
   16,564.71x = 22,859.90 × 9,492.50
4. Step 4: Simplify right side
   16,564.71x = 216,997,510.18
5. Step 5: Solve for x
   x = 216,997,510.18/16,564.71
6. Step 6: Final answer
   x = 13,099.99