Finding the Fourth Proportional to 10,102.57, 13,940.76 and 5,625.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.57 : 13,940.76 = 5,625.60 : x
2. Step 2: Convert to fraction form
   10,102.57/13,940.76 = 5,625.60/x
3. Step 3: Cross multiply
   10,102.57x = 13,940.76 × 5,625.60
4. Step 4: Simplify right side
   10,102.57x = 78,425,155.05
5. Step 5: Solve for x
   x = 78,425,155.05/10,102.57
6. Step 6: Final answer
   x = 7,762.89