Finding the Fourth Proportional to 6,456.21, 9,681.91 and 3,824.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.21 : 9,681.91 = 3,824.29 : x
2. Step 2: Convert to fraction form
   6,456.21/9,681.91 = 3,824.29/x
3. Step 3: Cross multiply
   6,456.21x = 9,681.91 × 3,824.29
4. Step 4: Simplify right side
   6,456.21x = 37,026,431.59
5. Step 5: Solve for x
   x = 37,026,431.59/6,456.21
6. Step 6: Final answer
   x = 5,735.01