Finding the Fourth Proportional to 1,105.30, 1,657.40 and 411.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.30 : 1,657.40 = 411.46 : x
2. Step 2: Convert to fraction form
   1,105.30/1,657.40 = 411.46/x
3. Step 3: Cross multiply
   1,105.30x = 1,657.40 × 411.46
4. Step 4: Simplify right side
   1,105.30x = 681,953.80
5. Step 5: Solve for x
   x = 681,953.80/1,105.30
6. Step 6: Final answer
   x = 616.99