Finding the Fourth Proportional to 77.39, 106.70 and 52.82

Step by Step Solution

1. Step 1: Write the proportion equation
   77.39 : 106.70 = 52.82 : x
2. Step 2: Convert to fraction form
   77.39/106.70 = 52.82/x
3. Step 3: Cross multiply
   77.39x = 106.70 × 52.82
4. Step 4: Simplify right side
   77.39x = 5,635.89
5. Step 5: Solve for x
   x = 5,635.89/77.39
6. Step 6: Final answer
   x = 72.82