Finding the Fourth Proportional to 82.05, 123.12 and 30.71

Step by Step Solution

1. Step 1: Write the proportion equation
   82.05 : 123.12 = 30.71 : x
2. Step 2: Convert to fraction form
   82.05/123.12 = 30.71/x
3. Step 3: Cross multiply
   82.05x = 123.12 × 30.71
4. Step 4: Simplify right side
   82.05x = 3,781.32
5. Step 5: Solve for x
   x = 3,781.32/82.05
6. Step 6: Final answer
   x = 46.09