Finding the Fourth Proportional to 1,105.51, 1,658.47 and 455.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.51 : 1,658.47 = 455.89 : x
2. Step 2: Convert to fraction form
   1,105.51/1,658.47 = 455.89/x
3. Step 3: Cross multiply
   1,105.51x = 1,658.47 × 455.89
4. Step 4: Simplify right side
   1,105.51x = 756,077.61
5. Step 5: Solve for x
   x = 756,077.61/1,105.51
6. Step 6: Final answer
   x = 683.92