Finding the Fourth Proportional to 82.00, 122.84 and 30.61

Step by Step Solution

1. Step 1: Write the proportion equation
   82.00 : 122.84 = 30.61 : x
2. Step 2: Convert to fraction form
   82.00/122.84 = 30.61/x
3. Step 3: Cross multiply
   82.00x = 122.84 × 30.61
4. Step 4: Simplify right side
   82.00x = 3,759.52
5. Step 5: Solve for x
   x = 3,759.52/82.00
6. Step 6: Final answer
   x = 45.85