Finding the Fourth Proportional to 47.82, 71.71 and 15.31

Step by Step Solution

1. Step 1: Write the proportion equation
   47.82 : 71.71 = 15.31 : x
2. Step 2: Convert to fraction form
   47.82/71.71 = 15.31/x
3. Step 3: Cross multiply
   47.82x = 71.71 × 15.31
4. Step 4: Simplify right side
   47.82x = 1,097.88
5. Step 5: Solve for x
   x = 1,097.88/47.82
6. Step 6: Final answer
   x = 22.96