Finding the Fourth Proportional to 71.21, 106.78 and 35.10

Step by Step Solution

1. Step 1: Write the proportion equation
   71.21 : 106.78 = 35.10 : x
2. Step 2: Convert to fraction form
   71.21/106.78 = 35.10/x
3. Step 3: Cross multiply
   71.21x = 106.78 × 35.10
4. Step 4: Simplify right side
   71.21x = 3,747.27
5. Step 5: Solve for x
   x = 3,747.27/71.21
6. Step 6: Final answer
   x = 52.63