Finding the Fourth Proportional to 82.42, 113.59 and 57.82

Step by Step Solution

1. Step 1: Write the proportion equation
   82.42 : 113.59 = 57.82 : x
2. Step 2: Convert to fraction form
   82.42/113.59 = 57.82/x
3. Step 3: Cross multiply
   82.42x = 113.59 × 57.82
4. Step 4: Simplify right side
   82.42x = 6,567.77
5. Step 5: Solve for x
   x = 6,567.77/82.42
6. Step 6: Final answer
   x = 79.69