Finding the Fourth Proportional to 1,105.37, 1,658.33 and 412.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.37 : 1,658.33 = 412.07 : x
2. Step 2: Convert to fraction form
   1,105.37/1,658.33 = 412.07/x
3. Step 3: Cross multiply
   1,105.37x = 1,658.33 × 412.07
4. Step 4: Simplify right side
   1,105.37x = 683,345.98
5. Step 5: Solve for x
   x = 683,345.98/1,105.37
6. Step 6: Final answer
   x = 618.21