Finding the Fourth Proportional to 1,105.35, 1,658.78 and 456.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.35 : 1,658.78 = 456.08 : x
2. Step 2: Convert to fraction form
   1,105.35/1,658.78 = 456.08/x
3. Step 3: Cross multiply
   1,105.35x = 1,658.78 × 456.08
4. Step 4: Simplify right side
   1,105.35x = 756,525.81
5. Step 5: Solve for x
   x = 756,525.81/1,105.35
6. Step 6: Final answer
   x = 684.42