Finding the Fourth Proportional to 10,100.91, 13,938.60 and 5,624.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.91 : 13,938.60 = 5,624.85 : x
2. Step 2: Convert to fraction form
   10,100.91/13,938.60 = 5,624.85/x
3. Step 3: Cross multiply
   10,100.91x = 13,938.60 × 5,624.85
4. Step 4: Simplify right side
   10,100.91x = 78,402,534.21
5. Step 5: Solve for x
   x = 78,402,534.21/10,100.91
6. Step 6: Final answer
   x = 7,761.93