Finding the Fourth Proportional to 11,006.64, 16,499 and 5,807.52

Step by Step Solution

1. Step 1: Write the proportion equation
   11,006.64 : 16,499 = 5,807.52 : x
2. Step 2: Convert to fraction form
   11,006.64/16,499 = 5,807.52/x
3. Step 3: Cross multiply
   11,006.64x = 16,499 × 5,807.52
4. Step 4: Simplify right side
   11,006.64x = 95,818,272.48
5. Step 5: Solve for x
   x = 95,818,272.48/11,006.64
6. Step 6: Final answer
   x = 8,705.50