Finding the Fourth Proportional to 82.23, 123.29 and 41.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.23 : 123.29 = 41.10 : x
2. Step 2: Convert to fraction form
   82.23/123.29 = 41.10/x
3. Step 3: Cross multiply
   82.23x = 123.29 × 41.10
4. Step 4: Simplify right side
   82.23x = 5,067.01
5. Step 5: Solve for x
   x = 5,067.01/82.23
6. Step 6: Final answer
   x = 61.62