Finding the Fourth Proportional to 6,578.39, 9,867.50 and 1,648.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.39 : 9,867.50 = 1,648.01 : x
2. Step 2: Convert to fraction form
   6,578.39/9,867.50 = 1,648.01/x
3. Step 3: Cross multiply
   6,578.39x = 9,867.50 × 1,648.01
4. Step 4: Simplify right side
   6,578.39x = 16,261,681.10
5. Step 5: Solve for x
   x = 16,261,681.10/6,578.39
6. Step 6: Final answer
   x = 2,471.99