Finding the Fourth Proportional to 82.53, 123.67 and 65.34

Step by Step Solution

1. Step 1: Write the proportion equation
   82.53 : 123.67 = 65.34 : x
2. Step 2: Convert to fraction form
   82.53/123.67 = 65.34/x
3. Step 3: Cross multiply
   82.53x = 123.67 × 65.34
4. Step 4: Simplify right side
   82.53x = 8,080.60
5. Step 5: Solve for x
   x = 8,080.60/82.53
6. Step 6: Final answer
   x = 97.91