Finding the Fourth Proportional to 6,986.17, 9,640.83 and 3,842.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,986.17 : 9,640.83 = 3,842.29 : x
2. Step 2: Convert to fraction form
   6,986.17/9,640.83 = 3,842.29/x
3. Step 3: Cross multiply
   6,986.17x = 9,640.83 × 3,842.29
4. Step 4: Simplify right side
   6,986.17x = 37,042,864.70
5. Step 5: Solve for x
   x = 37,042,864.70/6,986.17
6. Step 6: Final answer
   x = 5,302.31