Finding the Fourth Proportional to 6,983.46, 9,637.16 and 3,839.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.46 : 9,637.16 = 3,839.63 : x
2. Step 2: Convert to fraction form
   6,983.46/9,637.16 = 3,839.63/x
3. Step 3: Cross multiply
   6,983.46x = 9,637.16 × 3,839.63
4. Step 4: Simplify right side
   6,983.46x = 37,003,061.27
5. Step 5: Solve for x
   x = 37,003,061.27/6,983.46
6. Step 6: Final answer
   x = 5,298.67