Finding the Fourth Proportional to 43.16, 64.78 and 31.82

Step by Step Solution

1. Step 1: Write the proportion equation
   43.16 : 64.78 = 31.82 : x
2. Step 2: Convert to fraction form
   43.16/64.78 = 31.82/x
3. Step 3: Cross multiply
   43.16x = 64.78 × 31.82
4. Step 4: Simplify right side
   43.16x = 2,061.30
5. Step 5: Solve for x
   x = 2,061.30/43.16
6. Step 6: Final answer
   x = 47.76