Finding the Fourth Proportional to 6,913.43, 9,540.57 and 3,769.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,913.43 : 9,540.57 = 3,769.61 : x
2. Step 2: Convert to fraction form
   6,913.43/9,540.57 = 3,769.61/x
3. Step 3: Cross multiply
   6,913.43x = 9,540.57 × 3,769.61
4. Step 4: Simplify right side
   6,913.43x = 35,964,180.37
5. Step 5: Solve for x
   x = 35,964,180.37/6,913.43
6. Step 6: Final answer
   x = 5,202.08