Finding the Fourth Proportional to 269.82, 404.78 and 96.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269.82 : 404.78 = 96.50 : x
2. Step 2: Convert to fraction form
   269.82/404.78 = 96.50/x
3. Step 3: Cross multiply
   269.82x = 404.78 × 96.50
4. Step 4: Simplify right side
   269.82x = 39,058.76
5. Step 5: Solve for x
   x = 39,058.76/269.82
6. Step 6: Final answer
   x = 144.76