Finding the Fourth Proportional to 82.16, 123.23 and 34.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.16 : 123.23 = 34.06 : x
2. Step 2: Convert to fraction form
   82.16/123.23 = 34.06/x
3. Step 3: Cross multiply
   82.16x = 123.23 × 34.06
4. Step 4: Simplify right side
   82.16x = 4,197.21
5. Step 5: Solve for x
   x = 4,197.21/82.16
6. Step 6: Final answer
   x = 51.09