Finding the Fourth Proportional to 6,563.76, 9,838.55 and 3,234.32

Step by Step Solution

1. Step 1: Write the proportion equation
   6,563.76 : 9,838.55 = 3,234.32 : x
2. Step 2: Convert to fraction form
   6,563.76/9,838.55 = 3,234.32/x
3. Step 3: Cross multiply
   6,563.76x = 9,838.55 × 3,234.32
4. Step 4: Simplify right side
   6,563.76x = 31,821,002.86
5. Step 5: Solve for x
   x = 31,821,002.86/6,563.76
6. Step 6: Final answer
   x = 4,847.99