Finding the Fourth Proportional to 16,591.50, 22,896.27 and 9,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,591.50 : 22,896.27 = 9,139.50 : x
2. Step 2: Convert to fraction form
   16,591.50/22,896.27 = 9,139.50/x
3. Step 3: Cross multiply
   16,591.50x = 22,896.27 × 9,139.50
4. Step 4: Simplify right side
   16,591.50x = 209,260,459.67
5. Step 5: Solve for x
   x = 209,260,459.67/16,591.50
6. Step 6: Final answer
   x = 12,612.51