Finding the Fourth Proportional to 16,566.50, 22,861.77 and 9,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,566.50 : 22,861.77 = 9,114.50 : x
2. Step 2: Convert to fraction form
   16,566.50/22,861.77 = 9,114.50/x
3. Step 3: Cross multiply
   16,566.50x = 22,861.77 × 9,114.50
4. Step 4: Simplify right side
   16,566.50x = 208,373,602.67
5. Step 5: Solve for x
   x = 208,373,602.67/16,566.50
6. Step 6: Final answer
   x = 12,578.01