Finding the Fourth Proportional to 1,105.38, 1,656.45 and 456.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.38 : 1,656.45 = 456.57 : x
2. Step 2: Convert to fraction form
   1,105.38/1,656.45 = 456.57/x
3. Step 3: Cross multiply
   1,105.38x = 1,656.45 × 456.57
4. Step 4: Simplify right side
   1,105.38x = 756,285.38
5. Step 5: Solve for x
   x = 756,285.38/1,105.38
6. Step 6: Final answer
   x = 684.19