Finding the Fourth Proportional to 255.69, 383.67 and 111.37

Step by Step Solution

1. Step 1: Write the proportion equation
   255.69 : 383.67 = 111.37 : x
2. Step 2: Convert to fraction form
   255.69/383.67 = 111.37/x
3. Step 3: Cross multiply
   255.69x = 383.67 × 111.37
4. Step 4: Simplify right side
   255.69x = 42,729.33
5. Step 5: Solve for x
   x = 42,729.33/255.69
6. Step 6: Final answer
   x = 167.11