Finding the Fourth Proportional to 9,966.77, 13,754.77 and 5,490.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.77 : 13,754.77 = 5,490.52 : x
2. Step 2: Convert to fraction form
   9,966.77/13,754.77 = 5,490.52/x
3. Step 3: Cross multiply
   9,966.77x = 13,754.77 × 5,490.52
4. Step 4: Simplify right side
   9,966.77x = 75,520,839.78
5. Step 5: Solve for x
   x = 75,520,839.78/9,966.77
6. Step 6: Final answer
   x = 7,577.26