Finding the Fourth Proportional to 10,348.29, 14,280.71 and 5,632.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,348.29 : 14,280.71 = 5,632.57 : x
2. Step 2: Convert to fraction form
   10,348.29/14,280.71 = 5,632.57/x
3. Step 3: Cross multiply
   10,348.29x = 14,280.71 × 5,632.57
4. Step 4: Simplify right side
   10,348.29x = 80,437,088.41
5. Step 5: Solve for x
   x = 80,437,088.41/10,348.29
6. Step 6: Final answer
   x = 7,772.98