Finding the Fourth Proportional to 6,949.83, 9,591.57 and 3,966.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,949.83 : 9,591.57 = 3,966.09 : x
2. Step 2: Convert to fraction form
   6,949.83/9,591.57 = 3,966.09/x
3. Step 3: Cross multiply
   6,949.83x = 9,591.57 × 3,966.09
4. Step 4: Simplify right side
   6,949.83x = 38,041,065.83
5. Step 5: Solve for x
   x = 38,041,065.83/6,949.83
6. Step 6: Final answer
   x = 5,473.67