Finding the Fourth Proportional to 1,107.46, 1,658.69 and 559.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.46 : 1,658.69 = 559.83 : x
2. Step 2: Convert to fraction form
   1,107.46/1,658.69 = 559.83/x
3. Step 3: Cross multiply
   1,107.46x = 1,658.69 × 559.83
4. Step 4: Simplify right side
   1,107.46x = 928,584.42
5. Step 5: Solve for x
   x = 928,584.42/1,107.46
6. Step 6: Final answer
   x = 838.48