Finding the Fourth Proportional to 83.04, 123.60 and 82.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83.04 : 123.60 = 82.56 : x
2. Step 2: Convert to fraction form
   83.04/123.60 = 82.56/x
3. Step 3: Cross multiply
   83.04x = 123.60 × 82.56
4. Step 4: Simplify right side
   83.04x = 10,204.42
5. Step 5: Solve for x
   x = 10,204.42/83.04
6. Step 6: Final answer
   x = 122.89