Finding the Fourth Proportional to 10,257.47, 14,151.51 and 7,867.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.47 : 14,151.51 = 7,867.86 : x
2. Step 2: Convert to fraction form
   10,257.47/14,151.51 = 7,867.86/x
3. Step 3: Cross multiply
   10,257.47x = 14,151.51 × 7,867.86
4. Step 4: Simplify right side
   10,257.47x = 111,342,099.47
5. Step 5: Solve for x
   x = 111,342,099.47/10,257.47
6. Step 6: Final answer
   x = 10,854.74