Finding the Fourth Proportional to 5,768.82, 7,960.59 and 3,378.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,768.82 : 7,960.59 = 3,378.42 : x
2. Step 2: Convert to fraction form
   5,768.82/7,960.59 = 3,378.42/x
3. Step 3: Cross multiply
   5,768.82x = 7,960.59 × 3,378.42
4. Step 4: Simplify right side
   5,768.82x = 26,894,216.47
5. Step 5: Solve for x
   x = 26,894,216.47/5,768.82
6. Step 6: Final answer
   x = 4,662.00