Finding the Fourth Proportional to 9,966.38, 13,753.29 and 5,717.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.38 : 13,753.29 = 5,717.30 : x
2. Step 2: Convert to fraction form
   9,966.38/13,753.29 = 5,717.30/x
3. Step 3: Cross multiply
   9,966.38x = 13,753.29 × 5,717.30
4. Step 4: Simplify right side
   9,966.38x = 78,631,684.92
5. Step 5: Solve for x
   x = 78,631,684.92/9,966.38
6. Step 6: Final answer
   x = 7,889.69