Finding the Fourth Proportional to 77.42, 106.82 and 52.82

Step by Step Solution

1. Step 1: Write the proportion equation
   77.42 : 106.82 = 52.82 : x
2. Step 2: Convert to fraction form
   77.42/106.82 = 52.82/x
3. Step 3: Cross multiply
   77.42x = 106.82 × 52.82
4. Step 4: Simplify right side
   77.42x = 5,642.23
5. Step 5: Solve for x
   x = 5,642.23/77.42
6. Step 6: Final answer
   x = 72.88