Finding the Fourth Proportional to 67.82, 102.14 and 52.70

Step by Step Solution

1. Step 1: Write the proportion equation
   67.82 : 102.14 = 52.70 : x
2. Step 2: Convert to fraction form
   67.82/102.14 = 52.70/x
3. Step 3: Cross multiply
   67.82x = 102.14 × 52.70
4. Step 4: Simplify right side
   67.82x = 5,382.78
5. Step 5: Solve for x
   x = 5,382.78/67.82
6. Step 6: Final answer
   x = 79.37