Finding the Fourth Proportional to 82.65, 123.84 and 42.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.65 : 123.84 = 42.10 : x
2. Step 2: Convert to fraction form
   82.65/123.84 = 42.10/x
3. Step 3: Cross multiply
   82.65x = 123.84 × 42.10
4. Step 4: Simplify right side
   82.65x = 5,213.35
5. Step 5: Solve for x
   x = 5,213.35/82.65
6. Step 6: Final answer
   x = 63.07