Finding the Fourth Proportional to 1,105.22, 1,656.83 and 411.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.22 : 1,656.83 = 411.40 : x
2. Step 2: Convert to fraction form
   1,105.22/1,656.83 = 411.40/x
3. Step 3: Cross multiply
   1,105.22x = 1,656.83 × 411.40
4. Step 4: Simplify right side
   1,105.22x = 681,614.69
5. Step 5: Solve for x
   x = 681,614.69/1,105.22
6. Step 6: Final answer
   x = 616.73