Finding the Fourth Proportional to 6,983.29, 9,637.01 and 3,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.29 : 9,637.01 = 3,839.50 : x
2. Step 2: Convert to fraction form
   6,983.29/9,637.01 = 3,839.50/x
3. Step 3: Cross multiply
   6,983.29x = 9,637.01 × 3,839.50
4. Step 4: Simplify right side
   6,983.29x = 37,001,299.90
5. Step 5: Solve for x
   x = 37,001,299.90/6,983.29
6. Step 6: Final answer
   x = 5,298.55