Finding the Fourth Proportional to 82.47, 123.68 and 31.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.47 : 123.68 = 31.10 : x
2. Step 2: Convert to fraction form
   82.47/123.68 = 31.10/x
3. Step 3: Cross multiply
   82.47x = 123.68 × 31.10
4. Step 4: Simplify right side
   82.47x = 3,846.10
5. Step 5: Solve for x
   x = 3,846.10/82.47
6. Step 6: Final answer
   x = 46.64