Finding the Fourth Proportional to 82.56, 123.82 and 34.46

Step by Step Solution

1. Step 1: Write the proportion equation
   82.56 : 123.82 = 34.46 : x
2. Step 2: Convert to fraction form
   82.56/123.82 = 34.46/x
3. Step 3: Cross multiply
   82.56x = 123.82 × 34.46
4. Step 4: Simplify right side
   82.56x = 4,266.84
5. Step 5: Solve for x
   x = 4,266.84/82.56
6. Step 6: Final answer
   x = 51.68