Finding the Fourth Proportional to 82.56, 123.68 and 46.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82.56 : 123.68 = 46.56 : x
2. Step 2: Convert to fraction form
   82.56/123.68 = 46.56/x
3. Step 3: Cross multiply
   82.56x = 123.68 × 46.56
4. Step 4: Simplify right side
   82.56x = 5,758.54
5. Step 5: Solve for x
   x = 5,758.54/82.56
6. Step 6: Final answer
   x = 69.75