Finding the Fourth Proportional to 10,102.02, 13,940.75 and 5,625.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.02 : 13,940.75 = 5,625.83 : x
2. Step 2: Convert to fraction form
   10,102.02/13,940.75 = 5,625.83/x
3. Step 3: Cross multiply
   10,102.02x = 13,940.75 × 5,625.83
4. Step 4: Simplify right side
   10,102.02x = 78,428,233.93
5. Step 5: Solve for x
   x = 78,428,233.93/10,102.02
6. Step 6: Final answer
   x = 7,763.62