Finding the Fourth Proportional to 5,768.43, 7,958.75 and 3,882.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,768.43 : 7,958.75 = 3,882.14 : x
2. Step 2: Convert to fraction form
   5,768.43/7,958.75 = 3,882.14/x
3. Step 3: Cross multiply
   5,768.43x = 7,958.75 × 3,882.14
4. Step 4: Simplify right side
   5,768.43x = 30,897,011.33
5. Step 5: Solve for x
   x = 30,897,011.33/5,768.43
6. Step 6: Final answer
   x = 5,356.23