Finding the Fourth Proportional to 10,102.80, 13,940.28 and 5,625.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.80 : 13,940.28 = 5,625.12 : x
2. Step 2: Convert to fraction form
   10,102.80/13,940.28 = 5,625.12/x
3. Step 3: Cross multiply
   10,102.80x = 13,940.28 × 5,625.12
4. Step 4: Simplify right side
   10,102.80x = 78,415,747.83
5. Step 5: Solve for x
   x = 78,415,747.83/10,102.80
6. Step 6: Final answer
   x = 7,761.78