Finding the Fourth Proportional to 1,105.48, 1,658.83 and 456.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.48 : 1,658.83 = 456.67 : x
2. Step 2: Convert to fraction form
   1,105.48/1,658.83 = 456.67/x
3. Step 3: Cross multiply
   1,105.48x = 1,658.83 × 456.67
4. Step 4: Simplify right side
   1,105.48x = 757,537.90
5. Step 5: Solve for x
   x = 757,537.90/1,105.48
6. Step 6: Final answer
   x = 685.26