Finding the Fourth Proportional to 185.33, 277.89 and 82.55

Step by Step Solution

1. Step 1: Write the proportion equation
   185.33 : 277.89 = 82.55 : x
2. Step 2: Convert to fraction form
   185.33/277.89 = 82.55/x
3. Step 3: Cross multiply
   185.33x = 277.89 × 82.55
4. Step 4: Simplify right side
   185.33x = 22,938.43
5. Step 5: Solve for x
   x = 22,938.43/185.33
6. Step 6: Final answer
   x = 123.77