Finding the Fourth Proportional to 6,983.34, 9,636.93 and 3,839.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,983.34 : 9,636.93 = 3,839.64 : x
2. Step 2: Convert to fraction form
   6,983.34/9,636.93 = 3,839.64/x
3. Step 3: Cross multiply
   6,983.34x = 9,636.93 × 3,839.64
4. Step 4: Simplify right side
   6,983.34x = 37,002,341.91
5. Step 5: Solve for x
   x = 37,002,341.91/6,983.34
6. Step 6: Final answer
   x = 5,298.66