Finding the Fourth Proportional to 9,296.24, 12,825.69 and 5,941.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.24 : 12,825.69 = 5,941.02 : x
2. Step 2: Convert to fraction form
   9,296.24/12,825.69 = 5,941.02/x
3. Step 3: Cross multiply
   9,296.24x = 12,825.69 × 5,941.02
4. Step 4: Simplify right side
   9,296.24x = 76,197,680.80
5. Step 5: Solve for x
   x = 76,197,680.80/9,296.24
6. Step 6: Final answer
   x = 8,196.61