Finding the Fourth Proportional to 82.62, 123.84 and 42.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82.62 : 123.84 = 42.09 : x
2. Step 2: Convert to fraction form
   82.62/123.84 = 42.09/x
3. Step 3: Cross multiply
   82.62x = 123.84 × 42.09
4. Step 4: Simplify right side
   82.62x = 5,212.43
5. Step 5: Solve for x
   x = 5,212.43/82.62
6. Step 6: Final answer
   x = 63.09