Finding the Fourth Proportional to 82.05, 123.14 and 65.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.05 : 123.14 = 65.10 : x
2. Step 2: Convert to fraction form
   82.05/123.14 = 65.10/x
3. Step 3: Cross multiply
   82.05x = 123.14 × 65.10
4. Step 4: Simplify right side
   82.05x = 8,016.41
5. Step 5: Solve for x
   x = 8,016.41/82.05
6. Step 6: Final answer
   x = 97.70