Finding the Fourth Proportional to 82.42, 123.62 and 31.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.42 : 123.62 = 31.06 : x
2. Step 2: Convert to fraction form
   82.42/123.62 = 31.06/x
3. Step 3: Cross multiply
   82.42x = 123.62 × 31.06
4. Step 4: Simplify right side
   82.42x = 3,839.64
5. Step 5: Solve for x
   x = 3,839.64/82.42
6. Step 6: Final answer
   x = 46.59