Finding the Fourth Proportional to 6,208.16, 8,568.50 and 3,689.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,208.16 : 8,568.50 = 3,689.78 : x
2. Step 2: Convert to fraction form
   6,208.16/8,568.50 = 3,689.78/x
3. Step 3: Cross multiply
   6,208.16x = 8,568.50 × 3,689.78
4. Step 4: Simplify right side
   6,208.16x = 31,615,818.64
5. Step 5: Solve for x
   x = 31,615,818.64/6,208.16
6. Step 6: Final answer
   x = 5,092.63