Finding the Fourth Proportional to 255.89, 383.99 and 111.62

Step by Step Solution

1. Step 1: Write the proportion equation
   255.89 : 383.99 = 111.62 : x
2. Step 2: Convert to fraction form
   255.89/383.99 = 111.62/x
3. Step 3: Cross multiply
   255.89x = 383.99 × 111.62
4. Step 4: Simplify right side
   255.89x = 42,858.49
5. Step 5: Solve for x
   x = 42,858.49/255.89
6. Step 6: Final answer
   x = 167.49