Finding the Fourth Proportional to 9,406.46, 12,982.24 and 5,822.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.46 : 12,982.24 = 5,822.57 : x
2. Step 2: Convert to fraction form
   9,406.46/12,982.24 = 5,822.57/x
3. Step 3: Cross multiply
   9,406.46x = 12,982.24 × 5,822.57
4. Step 4: Simplify right side
   9,406.46x = 75,589,921.69
5. Step 5: Solve for x
   x = 75,589,921.69/9,406.46
6. Step 6: Final answer
   x = 8,035.96