Finding the Fourth Proportional to 2,563.75, 3,839.41 and 1,464.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.75 : 3,839.41 = 1,464.78 : x
2. Step 2: Convert to fraction form
   2,563.75/3,839.41 = 1,464.78/x
3. Step 3: Cross multiply
   2,563.75x = 3,839.41 × 1,464.78
4. Step 4: Simplify right side
   2,563.75x = 5,623,907.21
5. Step 5: Solve for x
   x = 5,623,907.21/2,563.75
6. Step 6: Final answer
   x = 2,193.62