Finding the Fourth Proportional to 859.92, 1,294.72 and 757.86

Step by Step Solution

1. Step 1: Write the proportion equation
   859.92 : 1,294.72 = 757.86 : x
2. Step 2: Convert to fraction form
   859.92/1,294.72 = 757.86/x
3. Step 3: Cross multiply
   859.92x = 1,294.72 × 757.86
4. Step 4: Simplify right side
   859.92x = 981,216.50
5. Step 5: Solve for x
   x = 981,216.50/859.92
6. Step 6: Final answer
   x = 1,141.06