Finding the Fourth Proportional to 82.07, 123.17 and 30.76

Step by Step Solution

1. Step 1: Write the proportion equation
   82.07 : 123.17 = 30.76 : x
2. Step 2: Convert to fraction form
   82.07/123.17 = 30.76/x
3. Step 3: Cross multiply
   82.07x = 123.17 × 30.76
4. Step 4: Simplify right side
   82.07x = 3,788.86
5. Step 5: Solve for x
   x = 3,788.86/82.07
6. Step 6: Final answer
   x = 46.17