Finding the Fourth Proportional to 82.29, 123.52 and 71.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.29 : 123.52 = 71.06 : x
2. Step 2: Convert to fraction form
   82.29/123.52 = 71.06/x
3. Step 3: Cross multiply
   82.29x = 123.52 × 71.06
4. Step 4: Simplify right side
   82.29x = 8,777.33
5. Step 5: Solve for x
   x = 8,777.33/82.29
6. Step 6: Final answer
   x = 106.66