Finding the Fourth Proportional to 6,466.35, 9,717.69 and 3,834.23

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466.35 : 9,717.69 = 3,834.23 : x
2. Step 2: Convert to fraction form
   6,466.35/9,717.69 = 3,834.23/x
3. Step 3: Cross multiply
   6,466.35x = 9,717.69 × 3,834.23
4. Step 4: Simplify right side
   6,466.35x = 37,259,882.82
5. Step 5: Solve for x
   x = 37,259,882.82/6,466.35
6. Step 6: Final answer
   x = 5,762.12