Finding the Fourth Proportional to 6,353.69, 8,769.06 and 3,836.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,353.69 : 8,769.06 = 3,836.16 : x
2. Step 2: Convert to fraction form
   6,353.69/8,769.06 = 3,836.16/x
3. Step 3: Cross multiply
   6,353.69x = 8,769.06 × 3,836.16
4. Step 4: Simplify right side
   6,353.69x = 33,639,517.21
5. Step 5: Solve for x
   x = 33,639,517.21/6,353.69
6. Step 6: Final answer
   x = 5,294.49