Finding the Fourth Proportional to 82.50, 123.67 and 31.12

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.67 = 31.12 : x
2. Step 2: Convert to fraction form
   82.50/123.67 = 31.12/x
3. Step 3: Cross multiply
   82.50x = 123.67 × 31.12
4. Step 4: Simplify right side
   82.50x = 3,848.61
5. Step 5: Solve for x
   x = 3,848.61/82.50
6. Step 6: Final answer
   x = 46.65