Finding the Fourth Proportional to 6,931.60, 9,564.64 and 3,947.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.60 : 9,564.64 = 3,947.29 : x
2. Step 2: Convert to fraction form
   6,931.60/9,564.64 = 3,947.29/x
3. Step 3: Cross multiply
   6,931.60x = 9,564.64 × 3,947.29
4. Step 4: Simplify right side
   6,931.60x = 37,754,407.83
5. Step 5: Solve for x
   x = 37,754,407.83/6,931.60
6. Step 6: Final answer
   x = 5,446.71