Finding the Fourth Proportional to 9,126.40, 12,594.24 and 5,401.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,126.40 : 12,594.24 = 5,401.60 : x
2. Step 2: Convert to fraction form
   9,126.40/12,594.24 = 5,401.60/x
3. Step 3: Cross multiply
   9,126.40x = 12,594.24 × 5,401.60
4. Step 4: Simplify right side
   9,126.40x = 68,029,046.78
5. Step 5: Solve for x
   x = 68,029,046.78/9,126.40
6. Step 6: Final answer
   x = 7,454.09