Finding the Fourth Proportional to 10,100.82, 13,940.01 and 5,625.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.82 : 13,940.01 = 5,625.57 : x
2. Step 2: Convert to fraction form
   10,100.82/13,940.01 = 5,625.57/x
3. Step 3: Cross multiply
   10,100.82x = 13,940.01 × 5,625.57
4. Step 4: Simplify right side
   10,100.82x = 78,420,502.06
5. Step 5: Solve for x
   x = 78,420,502.06/10,100.82
6. Step 6: Final answer
   x = 7,763.78