Finding the Fourth Proportional to 1,106.12, 1,658.82 and 456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.12 : 1,658.82 = 456.72 : x
2. Step 2: Convert to fraction form
   1,106.12/1,658.82 = 456.72/x
3. Step 3: Cross multiply
   1,106.12x = 1,658.82 × 456.72
4. Step 4: Simplify right side
   1,106.12x = 757,616.27
5. Step 5: Solve for x
   x = 757,616.27/1,106.12
6. Step 6: Final answer
   x = 684.93