Finding the Fourth Proportional to 6,296.16, 9,435.60 and 3,983.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,296.16 : 9,435.60 = 3,983.52 : x
2. Step 2: Convert to fraction form
   6,296.16/9,435.60 = 3,983.52/x
3. Step 3: Cross multiply
   6,296.16x = 9,435.60 × 3,983.52
4. Step 4: Simplify right side
   6,296.16x = 37,586,901.31
5. Step 5: Solve for x
   x = 37,586,901.31/6,296.16
6. Step 6: Final answer
   x = 5,969.81