Finding the Fourth Proportional to 77.42, 106.69 and 52.82

Step by Step Solution

1. Step 1: Write the proportion equation
   77.42 : 106.69 = 52.82 : x
2. Step 2: Convert to fraction form
   77.42/106.69 = 52.82/x
3. Step 3: Cross multiply
   77.42x = 106.69 × 52.82
4. Step 4: Simplify right side
   77.42x = 5,634.90
5. Step 5: Solve for x
   x = 5,634.90/77.42
6. Step 6: Final answer
   x = 72.78