Finding the Fourth Proportional to 2,563.12, 3,838.52 and 1,464.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.12 : 3,838.52 = 1,464.15 : x
2. Step 2: Convert to fraction form
   2,563.12/3,838.52 = 1,464.15/x
3. Step 3: Cross multiply
   2,563.12x = 3,838.52 × 1,464.15
4. Step 4: Simplify right side
   2,563.12x = 5,620,169.06
5. Step 5: Solve for x
   x = 5,620,169.06/2,563.12
6. Step 6: Final answer
   x = 2,192.71