Finding the Fourth Proportional to 6,948.52, 9,589.50 and 3,964.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,948.52 : 9,589.50 = 3,964.42 : x
2. Step 2: Convert to fraction form
   6,948.52/9,589.50 = 3,964.42/x
3. Step 3: Cross multiply
   6,948.52x = 9,589.50 × 3,964.42
4. Step 4: Simplify right side
   6,948.52x = 38,016,805.59
5. Step 5: Solve for x
   x = 38,016,805.59/6,948.52
6. Step 6: Final answer
   x = 5,471.21