Finding the Fourth Proportional to 185.37, 255.77 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   185.37 : 255.77 = 111.69 : x
2. Step 2: Convert to fraction form
   185.37/255.77 = 111.69/x
3. Step 3: Cross multiply
   185.37x = 255.77 × 111.69
4. Step 4: Simplify right side
   185.37x = 28,566.39
5. Step 5: Solve for x
   x = 28,566.39/185.37
6. Step 6: Final answer
   x = 154.10