Finding the Fourth Proportional to 6,983.31, 9,637.45 and 3,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.31 : 9,637.45 = 3,839.50 : x
2. Step 2: Convert to fraction form
   6,983.31/9,637.45 = 3,839.50/x
3. Step 3: Cross multiply
   6,983.31x = 9,637.45 × 3,839.50
4. Step 4: Simplify right side
   6,983.31x = 37,002,991.72
5. Step 5: Solve for x
   x = 37,002,991.72/6,983.31
6. Step 6: Final answer
   x = 5,298.77