Finding the Fourth Proportional to 9,906.43, 14,861.59 and 3,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,906.43 : 14,861.59 = 3,666.50 : x
2. Step 2: Convert to fraction form
   9,906.43/14,861.59 = 3,666.50/x
3. Step 3: Cross multiply
   9,906.43x = 14,861.59 × 3,666.50
4. Step 4: Simplify right side
   9,906.43x = 54,490,005.22
5. Step 5: Solve for x
   x = 54,490,005.22/9,906.43
6. Step 6: Final answer
   x = 5,500.47