Finding the Fourth Proportional to 1,105.84, 1,658.78 and 284.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.84 : 1,658.78 = 284.12 : x
2. Step 2: Convert to fraction form
   1,105.84/1,658.78 = 284.12/x
3. Step 3: Cross multiply
   1,105.84x = 1,658.78 × 284.12
4. Step 4: Simplify right side
   1,105.84x = 471,282.86
5. Step 5: Solve for x
   x = 471,282.86/1,105.84
6. Step 6: Final answer
   x = 426.18