Finding the Fourth Proportional to 82.64, 123.98 and 31.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82.64 : 123.98 = 31.31 : x
2. Step 2: Convert to fraction form
   82.64/123.98 = 31.31/x
3. Step 3: Cross multiply
   82.64x = 123.98 × 31.31
4. Step 4: Simplify right side
   82.64x = 3,881.50
5. Step 5: Solve for x
   x = 3,881.50/82.64
6. Step 6: Final answer
   x = 46.97