Finding the Fourth Proportional to 1,105.56, 1,658.46 and 456.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.56 : 1,658.46 = 456.84 : x
2. Step 2: Convert to fraction form
   1,105.56/1,658.46 = 456.84/x
3. Step 3: Cross multiply
   1,105.56x = 1,658.46 × 456.84
4. Step 4: Simplify right side
   1,105.56x = 757,650.87
5. Step 5: Solve for x
   x = 757,650.87/1,105.56
6. Step 6: Final answer
   x = 685.31