Finding the Fourth Proportional to 9,966.30, 13,753.70 and 5,490.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.30 : 13,753.70 = 5,490.24 : x
2. Step 2: Convert to fraction form
   9,966.30/13,753.70 = 5,490.24/x
3. Step 3: Cross multiply
   9,966.30x = 13,753.70 × 5,490.24
4. Step 4: Simplify right side
   9,966.30x = 75,511,113.89
5. Step 5: Solve for x
   x = 75,511,113.89/9,966.30
6. Step 6: Final answer
   x = 7,576.64