Finding the Fourth Proportional to 6,983.66, 9,637.20 and 3,839.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.66 : 9,637.20 = 3,839.82 : x
2. Step 2: Convert to fraction form
   6,983.66/9,637.20 = 3,839.82/x
3. Step 3: Cross multiply
   6,983.66x = 9,637.20 × 3,839.82
4. Step 4: Simplify right side
   6,983.66x = 37,005,113.30
5. Step 5: Solve for x
   x = 37,005,113.30/6,983.66
6. Step 6: Final answer
   x = 5,298.82