Finding the Fourth Proportional to 185.69, 255.61 and 160.78

Step by Step Solution

1. Step 1: Write the proportion equation
   185.69 : 255.61 = 160.78 : x
2. Step 2: Convert to fraction form
   185.69/255.61 = 160.78/x
3. Step 3: Cross multiply
   185.69x = 255.61 × 160.78
4. Step 4: Simplify right side
   185.69x = 41,096.17
5. Step 5: Solve for x
   x = 41,096.17/185.69
6. Step 6: Final answer
   x = 221.32