Finding the Fourth Proportional to 6,540.95, 9,809.06 and 3,581.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,540.95 : 9,809.06 = 3,581.60 : x
2. Step 2: Convert to fraction form
   6,540.95/9,809.06 = 3,581.60/x
3. Step 3: Cross multiply
   6,540.95x = 9,809.06 × 3,581.60
4. Step 4: Simplify right side
   6,540.95x = 35,132,062.34
5. Step 5: Solve for x
   x = 35,132,062.34/6,540.95
6. Step 6: Final answer
   x = 5,371.09