Finding the Fourth Proportional to 10,117.50, 13,962.33 and 5,925.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.50 : 13,962.33 = 5,925.66 : x
2. Step 2: Convert to fraction form
   10,117.50/13,962.33 = 5,925.66/x
3. Step 3: Cross multiply
   10,117.50x = 13,962.33 × 5,925.66
4. Step 4: Simplify right side
   10,117.50x = 82,736,020.39
5. Step 5: Solve for x
   x = 82,736,020.39/10,117.50
6. Step 6: Final answer
   x = 8,177.52