Finding the Fourth Proportional to 185.39, 255.86 and 111.71

Step by Step Solution

1. Step 1: Write the proportion equation
   185.39 : 255.86 = 111.71 : x
2. Step 2: Convert to fraction form
   185.39/255.86 = 111.71/x
3. Step 3: Cross multiply
   185.39x = 255.86 × 111.71
4. Step 4: Simplify right side
   185.39x = 28,581.76
5. Step 5: Solve for x
   x = 28,581.76/185.39
6. Step 6: Final answer
   x = 154.18