Finding the Fourth Proportional to 71.27, 106.83 and 35.24

Step by Step Solution

1. Step 1: Write the proportion equation
   71.27 : 106.83 = 35.24 : x
2. Step 2: Convert to fraction form
   71.27/106.83 = 35.24/x
3. Step 3: Cross multiply
   71.27x = 106.83 × 35.24
4. Step 4: Simplify right side
   71.27x = 3,764.69
5. Step 5: Solve for x
   x = 3,764.69/71.27
6. Step 6: Final answer
   x = 52.82