Finding the Fourth Proportional to 1,105.98, 1,659.08 and 284.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.98 : 1,659.08 = 284.27 : x
2. Step 2: Convert to fraction form
   1,105.98/1,659.08 = 284.27/x
3. Step 3: Cross multiply
   1,105.98x = 1,659.08 × 284.27
4. Step 4: Simplify right side
   1,105.98x = 471,616.95
5. Step 5: Solve for x
   x = 471,616.95/1,105.98
6. Step 6: Final answer
   x = 426.42