Finding the Fourth Proportional to 10,688.00, 14,753.55 and 9,566.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688.00 : 14,753.55 = 9,566.96 : x
2. Step 2: Convert to fraction form
   10,688.00/14,753.55 = 9,566.96/x
3. Step 3: Cross multiply
   10,688.00x = 14,753.55 × 9,566.96
4. Step 4: Simplify right side
   10,688.00x = 141,146,548.94
5. Step 5: Solve for x
   x = 141,146,548.94/10,688.00
6. Step 6: Final answer
   x = 13,206.08