Finding the Fourth Proportional to 2,540.64, 3,812.40 and 1,002.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.64 : 3,812.40 = 1,002.72 : x
2. Step 2: Convert to fraction form
   2,540.64/3,812.40 = 1,002.72/x
3. Step 3: Cross multiply
   2,540.64x = 3,812.40 × 1,002.72
4. Step 4: Simplify right side
   2,540.64x = 3,822,769.73
5. Step 5: Solve for x
   x = 3,822,769.73/2,540.64
6. Step 6: Final answer
   x = 1,504.65