Finding the Fourth Proportional to 2,464.20, 3,696.24 and 1,003

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.20 : 3,696.24 = 1,003 : x
2. Step 2: Convert to fraction form
   2,464.20/3,696.24 = 1,003/x
3. Step 3: Cross multiply
   2,464.20x = 3,696.24 × 1,003
4. Step 4: Simplify right side
   2,464.20x = 3,707,328.72
5. Step 5: Solve for x
   x = 3,707,328.72/2,464.20
6. Step 6: Final answer
   x = 1,504.48