Finding the Fourth Proportional to 9,314.75, 12,857.37 and 5,966.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.75 : 12,857.37 = 5,966.59 : x
2. Step 2: Convert to fraction form
   9,314.75/12,857.37 = 5,966.59/x
3. Step 3: Cross multiply
   9,314.75x = 12,857.37 × 5,966.59
4. Step 4: Simplify right side
   9,314.75x = 76,714,655.27
5. Step 5: Solve for x
   x = 76,714,655.27/9,314.75
6. Step 6: Final answer
   x = 8,235.83