Finding the Fourth Proportional to 10,100.57, 13,937.16 and 5,623.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.57 : 13,937.16 = 5,623.29 : x
2. Step 2: Convert to fraction form
   10,100.57/13,937.16 = 5,623.29/x
3. Step 3: Cross multiply
   10,100.57x = 13,937.16 × 5,623.29
4. Step 4: Simplify right side
   10,100.57x = 78,372,713.54
5. Step 5: Solve for x
   x = 78,372,713.54/10,100.57
6. Step 6: Final answer
   x = 7,759.24