Finding the Fourth Proportional to 5,830.78, 8,049.46 and 3,952.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.78 : 8,049.46 = 3,952.30 : x
2. Step 2: Convert to fraction form
   5,830.78/8,049.46 = 3,952.30/x
3. Step 3: Cross multiply
   5,830.78x = 8,049.46 × 3,952.30
4. Step 4: Simplify right side
   5,830.78x = 31,813,880.76
5. Step 5: Solve for x
   x = 31,813,880.76/5,830.78
6. Step 6: Final answer
   x = 5,456.20