Finding the Fourth Proportional to 6,578.69, 9,855.02 and 3,454.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.69 : 9,855.02 = 3,454.01 : x
2. Step 2: Convert to fraction form
   6,578.69/9,855.02 = 3,454.01/x
3. Step 3: Cross multiply
   6,578.69x = 9,855.02 × 3,454.01
4. Step 4: Simplify right side
   6,578.69x = 34,039,314.52
5. Step 5: Solve for x
   x = 34,039,314.52/6,578.69
6. Step 6: Final answer
   x = 5,174.18