Finding the Fourth Proportional to 6,985.92, 9,640.32 and 3,842.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,985.92 : 9,640.32 = 3,842.10 : x
2. Step 2: Convert to fraction form
   6,985.92/9,640.32 = 3,842.10/x
3. Step 3: Cross multiply
   6,985.92x = 9,640.32 × 3,842.10
4. Step 4: Simplify right side
   6,985.92x = 37,039,073.47
5. Step 5: Solve for x
   x = 37,039,073.47/6,985.92
6. Step 6: Final answer
   x = 5,301.96