Finding the Fourth Proportional to 1,105.22, 1,658.01 and 411.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.22 : 1,658.01 = 411.89 : x
2. Step 2: Convert to fraction form
   1,105.22/1,658.01 = 411.89/x
3. Step 3: Cross multiply
   1,105.22x = 1,658.01 × 411.89
4. Step 4: Simplify right side
   1,105.22x = 682,917.74
5. Step 5: Solve for x
   x = 682,917.74/1,105.22
6. Step 6: Final answer
   x = 617.90