Finding the Fourth Proportional to 71.38, 107.10 and 30.82

Step by Step Solution

1. Step 1: Write the proportion equation
   71.38 : 107.10 = 30.82 : x
2. Step 2: Convert to fraction form
   71.38/107.10 = 30.82/x
3. Step 3: Cross multiply
   71.38x = 107.10 × 30.82
4. Step 4: Simplify right side
   71.38x = 3,300.82
5. Step 5: Solve for x
   x = 3,300.82/71.38
6. Step 6: Final answer
   x = 46.24