Finding the Fourth Proportional to 5,976.98, 8,242.56 and 3,824.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,976.98 : 8,242.56 = 3,824.20 : x
2. Step 2: Convert to fraction form
   5,976.98/8,242.56 = 3,824.20/x
3. Step 3: Cross multiply
   5,976.98x = 8,242.56 × 3,824.20
4. Step 4: Simplify right side
   5,976.98x = 31,521,222.60
5. Step 5: Solve for x
   x = 31,521,222.60/5,976.98
6. Step 6: Final answer
   x = 5,273.78