Finding the Fourth Proportional to 2,582, 3,563.34 and 1,463.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 3,563.34 = 1,463.21 : x
2. Step 2: Convert to fraction form
   2,582/3,563.34 = 1,463.21/x
3. Step 3: Cross multiply
   2,582x = 3,563.34 × 1,463.21
4. Step 4: Simplify right side
   2,582x = 5,213,914.72
5. Step 5: Solve for x
   x = 5,213,914.72/2,582
6. Step 6: Final answer
   x = 2,019.33