Finding the Fourth Proportional to 71.42, 107.10 and 35.33

Step by Step Solution

1. Step 1: Write the proportion equation
   71.42 : 107.10 = 35.33 : x
2. Step 2: Convert to fraction form
   71.42/107.10 = 35.33/x
3. Step 3: Cross multiply
   71.42x = 107.10 × 35.33
4. Step 4: Simplify right side
   71.42x = 3,783.31
5. Step 5: Solve for x
   x = 3,783.31/71.42
6. Step 6: Final answer
   x = 52.98