Finding the Fourth Proportional to 1,105.93, 1,658.89 and 412.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.93 : 1,658.89 = 412.42 : x
2. Step 2: Convert to fraction form
   1,105.93/1,658.89 = 412.42/x
3. Step 3: Cross multiply
   1,105.93x = 1,658.89 × 412.42
4. Step 4: Simplify right side
   1,105.93x = 684,154.81
5. Step 5: Solve for x
   x = 684,154.81/1,105.93
6. Step 6: Final answer
   x = 618.62