Finding the Fourth Proportional to 82.38, 113.76 and 69.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.38 : 113.76 = 69.42 : x
2. Step 2: Convert to fraction form
   82.38/113.76 = 69.42/x
3. Step 3: Cross multiply
   82.38x = 113.76 × 69.42
4. Step 4: Simplify right side
   82.38x = 7,897.22
5. Step 5: Solve for x
   x = 7,897.22/82.38
6. Step 6: Final answer
   x = 95.86