Finding the Fourth Proportional to 185.29, 255.80 and 164.78

Step by Step Solution

1. Step 1: Write the proportion equation
   185.29 : 255.80 = 164.78 : x
2. Step 2: Convert to fraction form
   185.29/255.80 = 164.78/x
3. Step 3: Cross multiply
   185.29x = 255.80 × 164.78
4. Step 4: Simplify right side
   185.29x = 42,150.72
5. Step 5: Solve for x
   x = 42,150.72/185.29
6. Step 6: Final answer
   x = 227.49