Finding the Fourth Proportional to 82.57, 123.78 and 46.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.57 : 123.78 = 46.42 : x
2. Step 2: Convert to fraction form
   82.57/123.78 = 46.42/x
3. Step 3: Cross multiply
   82.57x = 123.78 × 46.42
4. Step 4: Simplify right side
   82.57x = 5,745.87
5. Step 5: Solve for x
   x = 5,745.87/82.57
6. Step 6: Final answer
   x = 69.59