Finding the Fourth Proportional to 6,410.78, 8,846.70 and 3,578.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.78 : 8,846.70 = 3,578.00 : x
2. Step 2: Convert to fraction form
   6,410.78/8,846.70 = 3,578.00/x
3. Step 3: Cross multiply
   6,410.78x = 8,846.70 × 3,578.00
4. Step 4: Simplify right side
   6,410.78x = 31,653,448.37
5. Step 5: Solve for x
   x = 31,653,448.37/6,410.78
6. Step 6: Final answer
   x = 4,937.54