Finding the Fourth Proportional to 82.15, 123.29 and 34.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82.15 : 123.29 = 34.09 : x
2. Step 2: Convert to fraction form
   82.15/123.29 = 34.09/x
3. Step 3: Cross multiply
   82.15x = 123.29 × 34.09
4. Step 4: Simplify right side
   82.15x = 4,202.96
5. Step 5: Solve for x
   x = 4,202.96/82.15
6. Step 6: Final answer
   x = 51.16