Finding the Fourth Proportional to 82.67, 123.89 and 52.18

Step by Step Solution

1. Step 1: Write the proportion equation
   82.67 : 123.89 = 52.18 : x
2. Step 2: Convert to fraction form
   82.67/123.89 = 52.18/x
3. Step 3: Cross multiply
   82.67x = 123.89 × 52.18
4. Step 4: Simplify right side
   82.67x = 6,464.01
5. Step 5: Solve for x
   x = 6,464.01/82.67
6. Step 6: Final answer
   x = 78.20