Finding the Fourth Proportional to 1,106.27, 1,659.83 and 456.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.27 : 1,659.83 = 456.85 : x
2. Step 2: Convert to fraction form
   1,106.27/1,659.83 = 456.85/x
3. Step 3: Cross multiply
   1,106.27x = 1,659.83 × 456.85
4. Step 4: Simplify right side
   1,106.27x = 758,293.34
5. Step 5: Solve for x
   x = 758,293.34/1,106.27
6. Step 6: Final answer
   x = 685.45