Finding the Fourth Proportional to 185.52, 255.94 and 111.82

Step by Step Solution

1. Step 1: Write the proportion equation
   185.52 : 255.94 = 111.82 : x
2. Step 2: Convert to fraction form
   185.52/255.94 = 111.82/x
3. Step 3: Cross multiply
   185.52x = 255.94 × 111.82
4. Step 4: Simplify right side
   185.52x = 28,619.21
5. Step 5: Solve for x
   x = 28,619.21/185.52
6. Step 6: Final answer
   x = 154.26