Finding the Fourth Proportional to 269.86, 404.76 and 123.55

Step by Step Solution

1. Step 1: Write the proportion equation
   269.86 : 404.76 = 123.55 : x
2. Step 2: Convert to fraction form
   269.86/404.76 = 123.55/x
3. Step 3: Cross multiply
   269.86x = 404.76 × 123.55
4. Step 4: Simplify right side
   269.86x = 50,008.10
5. Step 5: Solve for x
   x = 50,008.10/269.86
6. Step 6: Final answer
   x = 185.31