Finding the Fourth Proportional to 5,747.24, 7,934.82 and 3,978.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,747.24 : 7,934.82 = 3,978.20 : x
2. Step 2: Convert to fraction form
   5,747.24/7,934.82 = 3,978.20/x
3. Step 3: Cross multiply
   5,747.24x = 7,934.82 × 3,978.20
4. Step 4: Simplify right side
   5,747.24x = 31,566,300.92
5. Step 5: Solve for x
   x = 31,566,300.92/5,747.24
6. Step 6: Final answer
   x = 5,492.43