Finding the Fourth Proportional to 185.50, 256.02 and 111.82

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 256.02 = 111.82 : x
2. Step 2: Convert to fraction form
   185.50/256.02 = 111.82/x
3. Step 3: Cross multiply
   185.50x = 256.02 × 111.82
4. Step 4: Simplify right side
   185.50x = 28,628.16
5. Step 5: Solve for x
   x = 28,628.16/185.50
6. Step 6: Final answer
   x = 154.33