Finding the Fourth Proportional to 1,105.28, 1,658.17 and 411.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.28 : 1,658.17 = 411.95 : x
2. Step 2: Convert to fraction form
   1,105.28/1,658.17 = 411.95/x
3. Step 3: Cross multiply
   1,105.28x = 1,658.17 × 411.95
4. Step 4: Simplify right side
   1,105.28x = 683,073.81
5. Step 5: Solve for x
   x = 683,073.81/1,105.28
6. Step 6: Final answer
   x = 618.01