Finding the Fourth Proportional to 8,662.90, 12,986.16 and 7,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,662.90 : 12,986.16 = 7,892.50 : x
2. Step 2: Convert to fraction form
   8,662.90/12,986.16 = 7,892.50/x
3. Step 3: Cross multiply
   8,662.90x = 12,986.16 × 7,892.50
4. Step 4: Simplify right side
   8,662.90x = 102,493,267.80
5. Step 5: Solve for x
   x = 102,493,267.80/8,662.90
6. Step 6: Final answer
   x = 11,831.29