Finding the Fourth Proportional to 1,105.34, 1,657.53 and 411.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.34 : 1,657.53 = 411.89 : x
2. Step 2: Convert to fraction form
   1,105.34/1,657.53 = 411.89/x
3. Step 3: Cross multiply
   1,105.34x = 1,657.53 × 411.89
4. Step 4: Simplify right side
   1,105.34x = 682,711.74
5. Step 5: Solve for x
   x = 682,711.74/1,105.34
6. Step 6: Final answer
   x = 617.65