Finding the Fourth Proportional to 82.69, 123.97 and 34.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 123.97 = 34.56 : x
2. Step 2: Convert to fraction form
   82.69/123.97 = 34.56/x
3. Step 3: Cross multiply
   82.69x = 123.97 × 34.56
4. Step 4: Simplify right side
   82.69x = 4,284.40
5. Step 5: Solve for x
   x = 4,284.40/82.69
6. Step 6: Final answer
   x = 51.81