Finding the Fourth Proportional to 1,105.77, 1,658.52 and 456.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.77 : 1,658.52 = 456.42 : x
2. Step 2: Convert to fraction form
   1,105.77/1,658.52 = 456.42/x
3. Step 3: Cross multiply
   1,105.77x = 1,658.52 × 456.42
4. Step 4: Simplify right side
   1,105.77x = 756,981.70
5. Step 5: Solve for x
   x = 756,981.70/1,105.77
6. Step 6: Final answer
   x = 684.57