Finding the Fourth Proportional to 6,913.56, 9,540.72 and 3,769.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,913.56 : 9,540.72 = 3,769.80 : x
2. Step 2: Convert to fraction form
   6,913.56/9,540.72 = 3,769.80/x
3. Step 3: Cross multiply
   6,913.56x = 9,540.72 × 3,769.80
4. Step 4: Simplify right side
   6,913.56x = 35,966,606.26
5. Step 5: Solve for x
   x = 35,966,606.26/6,913.56
6. Step 6: Final answer
   x = 5,202.33