Finding the Fourth Proportional to 6,410.82, 8,847.37 and 3,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.82 : 8,847.37 = 3,578.75 : x
2. Step 2: Convert to fraction form
   6,410.82/8,847.37 = 3,578.75/x
3. Step 3: Cross multiply
   6,410.82x = 8,847.37 × 3,578.75
4. Step 4: Simplify right side
   6,410.82x = 31,662,518.80
5. Step 5: Solve for x
   x = 31,662,518.80/6,410.82
6. Step 6: Final answer
   x = 4,938.92