Finding the Fourth Proportional to 6,931.41, 9,564.24 and 3,947.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.41 : 9,564.24 = 3,947.30 : x
2. Step 2: Convert to fraction form
   6,931.41/9,564.24 = 3,947.30/x
3. Step 3: Cross multiply
   6,931.41x = 9,564.24 × 3,947.30
4. Step 4: Simplify right side
   6,931.41x = 37,752,904.82
5. Step 5: Solve for x
   x = 37,752,904.82/6,931.41
6. Step 6: Final answer
   x = 5,446.64