Finding the Fourth Proportional to 185.37, 255.82 and 123.09

Step by Step Solution

1. Step 1: Write the proportion equation
   185.37 : 255.82 = 123.09 : x
2. Step 2: Convert to fraction form
   185.37/255.82 = 123.09/x
3. Step 3: Cross multiply
   185.37x = 255.82 × 123.09
4. Step 4: Simplify right side
   185.37x = 31,488.88
5. Step 5: Solve for x
   x = 31,488.88/185.37
6. Step 6: Final answer
   x = 169.87