Finding the Fourth Proportional to 40.82, 56.42 and 31.10

Step by Step Solution

1. Step 1: Write the proportion equation
   40.82 : 56.42 = 31.10 : x
2. Step 2: Convert to fraction form
   40.82/56.42 = 31.10/x
3. Step 3: Cross multiply
   40.82x = 56.42 × 31.10
4. Step 4: Simplify right side
   40.82x = 1,754.66
5. Step 5: Solve for x
   x = 1,754.66/40.82
6. Step 6: Final answer
   x = 42.99