Finding the Fourth Proportional to 10,100.62, 13,938.33 and 5,624.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.62 : 13,938.33 = 5,624.20 : x
2. Step 2: Convert to fraction form
   10,100.62/13,938.33 = 5,624.20/x
3. Step 3: Cross multiply
   10,100.62x = 13,938.33 × 5,624.20
4. Step 4: Simplify right side
   10,100.62x = 78,391,955.59
5. Step 5: Solve for x
   x = 78,391,955.59/10,100.62
6. Step 6: Final answer
   x = 7,761.10