Finding the Fourth Proportional to 1,105.74, 1,658.70 and 456.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.74 : 1,658.70 = 456.53 : x
2. Step 2: Convert to fraction form
   1,105.74/1,658.70 = 456.53/x
3. Step 3: Cross multiply
   1,105.74x = 1,658.70 × 456.53
4. Step 4: Simplify right side
   1,105.74x = 757,238.02
5. Step 5: Solve for x
   x = 757,238.02/1,105.74
6. Step 6: Final answer
   x = 684.82