Finding the Fourth Proportional to 1,105.47, 1,658.16 and 456.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.47 : 1,658.16 = 456.03 : x
2. Step 2: Convert to fraction form
   1,105.47/1,658.16 = 456.03/x
3. Step 3: Cross multiply
   1,105.47x = 1,658.16 × 456.03
4. Step 4: Simplify right side
   1,105.47x = 756,170.70
5. Step 5: Solve for x
   x = 756,170.70/1,105.47
6. Step 6: Final answer
   x = 684.03