Finding the Fourth Proportional to 82.46, 123.59 and 46.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.46 : 123.59 = 46.42 : x
2. Step 2: Convert to fraction form
   82.46/123.59 = 46.42/x
3. Step 3: Cross multiply
   82.46x = 123.59 × 46.42
4. Step 4: Simplify right side
   82.46x = 5,736.51
5. Step 5: Solve for x
   x = 5,736.51/82.46
6. Step 6: Final answer
   x = 69.57