Finding the Fourth Proportional to 1,105.94, 1,658.89 and 456.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.94 : 1,658.89 = 456.22 : x
2. Step 2: Convert to fraction form
   1,105.94/1,658.89 = 456.22/x
3. Step 3: Cross multiply
   1,105.94x = 1,658.89 × 456.22
4. Step 4: Simplify right side
   1,105.94x = 756,818.80
5. Step 5: Solve for x
   x = 756,818.80/1,105.94
6. Step 6: Final answer
   x = 684.32