Finding the Fourth Proportional to 10,100.50, 13,938.69 and 5,909.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.50 : 13,938.69 = 5,909.56 : x
2. Step 2: Convert to fraction form
   10,100.50/13,938.69 = 5,909.56/x
3. Step 3: Cross multiply
   10,100.50x = 13,938.69 × 5,909.56
4. Step 4: Simplify right side
   10,100.50x = 82,371,524.88
5. Step 5: Solve for x
   x = 82,371,524.88/10,100.50
6. Step 6: Final answer
   x = 8,155.19