Finding the Fourth Proportional to 10,874.57, 14,992.62 and 7,847.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874.57 : 14,992.62 = 7,847.15 : x
2. Step 2: Convert to fraction form
   10,874.57/14,992.62 = 7,847.15/x
3. Step 3: Cross multiply
   10,874.57x = 14,992.62 × 7,847.15
4. Step 4: Simplify right side
   10,874.57x = 117,649,320.17
5. Step 5: Solve for x
   x = 117,649,320.17/10,874.57
6. Step 6: Final answer
   x = 10,818.76