Finding the Fourth Proportional to 6,931.25, 9,564.59 and 3,946.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.25 : 9,564.59 = 3,946.49 : x
2. Step 2: Convert to fraction form
   6,931.25/9,564.59 = 3,946.49/x
3. Step 3: Cross multiply
   6,931.25x = 9,564.59 × 3,946.49
4. Step 4: Simplify right side
   6,931.25x = 37,746,491.23
5. Step 5: Solve for x
   x = 37,746,491.23/6,931.25
6. Step 6: Final answer
   x = 5,445.85