Finding the Fourth Proportional to 1,105.82, 1,658.93 and 456.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.82 : 1,658.93 = 456.20 : x
2. Step 2: Convert to fraction form
   1,105.82/1,658.93 = 456.20/x
3. Step 3: Cross multiply
   1,105.82x = 1,658.93 × 456.20
4. Step 4: Simplify right side
   1,105.82x = 756,793.29
5. Step 5: Solve for x
   x = 756,793.29/1,105.82
6. Step 6: Final answer
   x = 684.38