Finding the Fourth Proportional to 1,105.71, 1,658.37 and 412.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.71 : 1,658.37 = 412.69 : x
2. Step 2: Convert to fraction form
   1,105.71/1,658.37 = 412.69/x
3. Step 3: Cross multiply
   1,105.71x = 1,658.37 × 412.69
4. Step 4: Simplify right side
   1,105.71x = 684,392.72
5. Step 5: Solve for x
   x = 684,392.72/1,105.71
6. Step 6: Final answer
   x = 618.96