Finding the Fourth Proportional to 185.53, 256 and 111.83

Step by Step Solution

1. Step 1: Write the proportion equation
   185.53 : 256 = 111.83 : x
2. Step 2: Convert to fraction form
   185.53/256 = 111.83/x
3. Step 3: Cross multiply
   185.53x = 256 × 111.83
4. Step 4: Simplify right side
   185.53x = 28,628.48
5. Step 5: Solve for x
   x = 28,628.48/185.53
6. Step 6: Final answer
   x = 154.31