Finding the Fourth Proportional to 10,101.88, 13,940.31 and 5,625.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.88 : 13,940.31 = 5,625.63 : x
2. Step 2: Convert to fraction form
   10,101.88/13,940.31 = 5,625.63/x
3. Step 3: Cross multiply
   10,101.88x = 13,940.31 × 5,625.63
4. Step 4: Simplify right side
   10,101.88x = 78,422,928.32
5. Step 5: Solve for x
   x = 78,422,928.32/10,101.88
6. Step 6: Final answer
   x = 7,763.21