Finding the Fourth Proportional to 1,105.32, 1,658.03 and 411.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.32 : 1,658.03 = 411.83 : x
2. Step 2: Convert to fraction form
   1,105.32/1,658.03 = 411.83/x
3. Step 3: Cross multiply
   1,105.32x = 1,658.03 × 411.83
4. Step 4: Simplify right side
   1,105.32x = 682,816.15
5. Step 5: Solve for x
   x = 682,816.15/1,105.32
6. Step 6: Final answer
   x = 617.75