Finding the Fourth Proportional to 185.38, 255.82 and 111.73

Step by Step Solution

1. Step 1: Write the proportion equation
   185.38 : 255.82 = 111.73 : x
2. Step 2: Convert to fraction form
   185.38/255.82 = 111.73/x
3. Step 3: Cross multiply
   185.38x = 255.82 × 111.73
4. Step 4: Simplify right side
   185.38x = 28,582.77
5. Step 5: Solve for x
   x = 28,582.77/185.38
6. Step 6: Final answer
   x = 154.18