Finding the Fourth Proportional to 9,290.24, 12,782.04 and 8,114.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.24 : 12,782.04 = 8,114.12 : x
2. Step 2: Convert to fraction form
   9,290.24/12,782.04 = 8,114.12/x
3. Step 3: Cross multiply
   9,290.24x = 12,782.04 × 8,114.12
4. Step 4: Simplify right side
   9,290.24x = 103,715,006.40
5. Step 5: Solve for x
   x = 103,715,006.40/9,290.24
6. Step 6: Final answer
   x = 11,163.87