Finding the Fourth Proportional to 185.33, 255.78 and 111.63

Step by Step Solution

1. Step 1: Write the proportion equation
   185.33 : 255.78 = 111.63 : x
2. Step 2: Convert to fraction form
   185.33/255.78 = 111.63/x
3. Step 3: Cross multiply
   185.33x = 255.78 × 111.63
4. Step 4: Simplify right side
   185.33x = 28,552.72
5. Step 5: Solve for x
   x = 28,552.72/185.33
6. Step 6: Final answer
   x = 154.07