Finding the Fourth Proportional to 1,105.81, 1,659.48 and 456.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.81 : 1,659.48 = 456.55 : x
2. Step 2: Convert to fraction form
   1,105.81/1,659.48 = 456.55/x
3. Step 3: Cross multiply
   1,105.81x = 1,659.48 × 456.55
4. Step 4: Simplify right side
   1,105.81x = 757,635.59
5. Step 5: Solve for x
   x = 757,635.59/1,105.81
6. Step 6: Final answer
   x = 685.14