Finding the Fourth Proportional to 10,117.71, 15,162.49 and 5,176.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.71 : 15,162.49 = 5,176.91 : x
2. Step 2: Convert to fraction form
   10,117.71/15,162.49 = 5,176.91/x
3. Step 3: Cross multiply
   10,117.71x = 15,162.49 × 5,176.91
4. Step 4: Simplify right side
   10,117.71x = 78,494,890.48
5. Step 5: Solve for x
   x = 78,494,890.48/10,117.71
6. Step 6: Final answer
   x = 7,758.17