Finding the Fourth Proportional to 1,105.76, 1,658.49 and 284.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.76 : 1,658.49 = 284.04 : x
2. Step 2: Convert to fraction form
   1,105.76/1,658.49 = 284.04/x
3. Step 3: Cross multiply
   1,105.76x = 1,658.49 × 284.04
4. Step 4: Simplify right side
   1,105.76x = 471,077.50
5. Step 5: Solve for x
   x = 471,077.50/1,105.76
6. Step 6: Final answer
   x = 426.02