Finding the Fourth Proportional to 10,102.12, 13,940.61 and 5,625.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.12 : 13,940.61 = 5,625.78 : x
2. Step 2: Convert to fraction form
   10,102.12/13,940.61 = 5,625.78/x
3. Step 3: Cross multiply
   10,102.12x = 13,940.61 × 5,625.78
4. Step 4: Simplify right side
   10,102.12x = 78,426,735.22
5. Step 5: Solve for x
   x = 78,426,735.22/10,102.12
6. Step 6: Final answer
   x = 7,763.39