Finding the Fourth Proportional to 9,966.10, 13,753.20 and 5,489.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.10 : 13,753.20 = 5,489.86 : x
2. Step 2: Convert to fraction form
   9,966.10/13,753.20 = 5,489.86/x
3. Step 3: Cross multiply
   9,966.10x = 13,753.20 × 5,489.86
4. Step 4: Simplify right side
   9,966.10x = 75,503,142.55
5. Step 5: Solve for x
   x = 75,503,142.55/9,966.10
6. Step 6: Final answer
   x = 7,576.00