Finding the Fourth Proportional to 185.42, 255.88 and 111.72

Step by Step Solution

1. Step 1: Write the proportion equation
   185.42 : 255.88 = 111.72 : x
2. Step 2: Convert to fraction form
   185.42/255.88 = 111.72/x
3. Step 3: Cross multiply
   185.42x = 255.88 × 111.72
4. Step 4: Simplify right side
   185.42x = 28,587.61
5. Step 5: Solve for x
   x = 28,587.61/185.42
6. Step 6: Final answer
   x = 154.18