Finding the Fourth Proportional to 9,292.24, 12,784.80 and 8,116.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.24 : 12,784.80 = 8,116.12 : x
2. Step 2: Convert to fraction form
   9,292.24/12,784.80 = 8,116.12/x
3. Step 3: Cross multiply
   9,292.24x = 12,784.80 × 8,116.12
4. Step 4: Simplify right side
   9,292.24x = 103,762,970.98
5. Step 5: Solve for x
   x = 103,762,970.98/9,292.24
6. Step 6: Final answer
   x = 11,166.63