Finding the Fourth Proportional to 42.06, 62.82 and 31.13

Step by Step Solution

1. Step 1: Write the proportion equation
   42.06 : 62.82 = 31.13 : x
2. Step 2: Convert to fraction form
   42.06/62.82 = 31.13/x
3. Step 3: Cross multiply
   42.06x = 62.82 × 31.13
4. Step 4: Simplify right side
   42.06x = 1,955.59
5. Step 5: Solve for x
   x = 1,955.59/42.06
6. Step 6: Final answer
   x = 46.50