Finding the Fourth Proportional to 6,983.56, 9,637.41 and 3,839.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.56 : 9,637.41 = 3,839.82 : x
2. Step 2: Convert to fraction form
   6,983.56/9,637.41 = 3,839.82/x
3. Step 3: Cross multiply
   6,983.56x = 9,637.41 × 3,839.82
4. Step 4: Simplify right side
   6,983.56x = 37,005,919.67
5. Step 5: Solve for x
   x = 37,005,919.67/6,983.56
6. Step 6: Final answer
   x = 5,299.01