Finding the Fourth Proportional to 10,424.62, 14,385.98 and 5,644.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.62 : 14,385.98 = 5,644.60 : x
2. Step 2: Convert to fraction form
   10,424.62/14,385.98 = 5,644.60/x
3. Step 3: Cross multiply
   10,424.62x = 14,385.98 × 5,644.60
4. Step 4: Simplify right side
   10,424.62x = 81,203,102.71
5. Step 5: Solve for x
   x = 81,203,102.71/10,424.62
6. Step 6: Final answer
   x = 7,789.55