Finding the Fourth Proportional to 71.33, 106.89 and 53.27

Step by Step Solution

1. Step 1: Write the proportion equation
   71.33 : 106.89 = 53.27 : x
2. Step 2: Convert to fraction form
   71.33/106.89 = 53.27/x
3. Step 3: Cross multiply
   71.33x = 106.89 × 53.27
4. Step 4: Simplify right side
   71.33x = 5,693.70
5. Step 5: Solve for x
   x = 5,693.70/71.33
6. Step 6: Final answer
   x = 79.83