Finding the Fourth Proportional to 6,983.50, 9,637.24 and 3,839.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.50 : 9,637.24 = 3,839.62 : x
2. Step 2: Convert to fraction form
   6,983.50/9,637.24 = 3,839.62/x
3. Step 3: Cross multiply
   6,983.50x = 9,637.24 × 3,839.62
4. Step 4: Simplify right side
   6,983.50x = 37,003,339.45
5. Step 5: Solve for x
   x = 37,003,339.45/6,983.50
6. Step 6: Final answer
   x = 5,298.68