Finding the Fourth Proportional to 82.23, 123.49 and 67.82

Step by Step Solution

1. Step 1: Write the proportion equation
   82.23 : 123.49 = 67.82 : x
2. Step 2: Convert to fraction form
   82.23/123.49 = 67.82/x
3. Step 3: Cross multiply
   82.23x = 123.49 × 67.82
4. Step 4: Simplify right side
   82.23x = 8,374.56
5. Step 5: Solve for x
   x = 8,374.56/82.23
6. Step 6: Final answer
   x = 101.85