Finding the Fourth Proportional to 6,931.24, 9,564.69 and 3,947.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.24 : 9,564.69 = 3,947.20 : x
2. Step 2: Convert to fraction form
   6,931.24/9,564.69 = 3,947.20/x
3. Step 3: Cross multiply
   6,931.24x = 9,564.69 × 3,947.20
4. Step 4: Simplify right side
   6,931.24x = 37,753,744.37
5. Step 5: Solve for x
   x = 37,753,744.37/6,931.24
6. Step 6: Final answer
   x = 5,446.90