Finding the Fourth Proportional to 77.82, 107.42 and 53.27

Step by Step Solution

1. Step 1: Write the proportion equation
   77.82 : 107.42 = 53.27 : x
2. Step 2: Convert to fraction form
   77.82/107.42 = 53.27/x
3. Step 3: Cross multiply
   77.82x = 107.42 × 53.27
4. Step 4: Simplify right side
   77.82x = 5,721.86
5. Step 5: Solve for x
   x = 5,721.86/77.82
6. Step 6: Final answer
   x = 73.53