Finding the Fourth Proportional to 6,931.30, 9,564.15 and 3,947.26

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.30 : 9,564.15 = 3,947.26 : x
2. Step 2: Convert to fraction form
   6,931.30/9,564.15 = 3,947.26/x
3. Step 3: Cross multiply
   6,931.30x = 9,564.15 × 3,947.26
4. Step 4: Simplify right side
   6,931.30x = 37,752,186.73
5. Step 5: Solve for x
   x = 37,752,186.73/6,931.30
6. Step 6: Final answer
   x = 5,446.62