Finding the Fourth Proportional to 78.82, 118.15 and 30.71

Step by Step Solution

1. Step 1: Write the proportion equation
   78.82 : 118.15 = 30.71 : x
2. Step 2: Convert to fraction form
   78.82/118.15 = 30.71/x
3. Step 3: Cross multiply
   78.82x = 118.15 × 30.71
4. Step 4: Simplify right side
   78.82x = 3,628.39
5. Step 5: Solve for x
   x = 3,628.39/78.82
6. Step 6: Final answer
   x = 46.03