Finding the Fourth Proportional to 82.21, 123.31 and 46.12

Step by Step Solution

1. Step 1: Write the proportion equation
   82.21 : 123.31 = 46.12 : x
2. Step 2: Convert to fraction form
   82.21/123.31 = 46.12/x
3. Step 3: Cross multiply
   82.21x = 123.31 × 46.12
4. Step 4: Simplify right side
   82.21x = 5,687.06
5. Step 5: Solve for x
   x = 5,687.06/82.21
6. Step 6: Final answer
   x = 69.18