Finding the Fourth Proportional to 2,563.49, 3,841.67 and 1,465.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.49 : 3,841.67 = 1,465.53 : x
2. Step 2: Convert to fraction form
   2,563.49/3,841.67 = 1,465.53/x
3. Step 3: Cross multiply
   2,563.49x = 3,841.67 × 1,465.53
4. Step 4: Simplify right side
   2,563.49x = 5,630,075.31
5. Step 5: Solve for x
   x = 5,630,075.31/2,563.49
6. Step 6: Final answer
   x = 2,196.26