Finding the Fourth Proportional to 9,769.28, 14,647.98 and 3,839.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.28 : 14,647.98 = 3,839.06 : x
2. Step 2: Convert to fraction form
   9,769.28/14,647.98 = 3,839.06/x
3. Step 3: Cross multiply
   9,769.28x = 14,647.98 × 3,839.06
4. Step 4: Simplify right side
   9,769.28x = 56,234,474.10
5. Step 5: Solve for x
   x = 56,234,474.10/9,769.28
6. Step 6: Final answer
   x = 5,756.26