Finding the Fourth Proportional to 6,578.00, 9,074.57 and 3,781.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,578.00 : 9,074.57 = 3,781.88 : x
2. Step 2: Convert to fraction form
   6,578.00/9,074.57 = 3,781.88/x
3. Step 3: Cross multiply
   6,578.00x = 9,074.57 × 3,781.88
4. Step 4: Simplify right side
   6,578.00x = 34,318,870.51
5. Step 5: Solve for x
   x = 34,318,870.51/6,578.00
6. Step 6: Final answer
   x = 5,217.22