Finding the Fourth Proportional to 1,105.83, 1,658.78 and 456.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.83 : 1,658.78 = 456.61 : x
2. Step 2: Convert to fraction form
   1,105.83/1,658.78 = 456.61/x
3. Step 3: Cross multiply
   1,105.83x = 1,658.78 × 456.61
4. Step 4: Simplify right side
   1,105.83x = 757,415.54
5. Step 5: Solve for x
   x = 757,415.54/1,105.83
6. Step 6: Final answer
   x = 684.93