Finding the Fourth Proportional to 82.96, 123.82 and 80.80

Step by Step Solution

1. Step 1: Write the proportion equation
   82.96 : 123.82 = 80.80 : x
2. Step 2: Convert to fraction form
   82.96/123.82 = 80.80/x
3. Step 3: Cross multiply
   82.96x = 123.82 × 80.80
4. Step 4: Simplify right side
   82.96x = 10,004.66
5. Step 5: Solve for x
   x = 10,004.66/82.96
6. Step 6: Final answer
   x = 120.60