Finding the Fourth Proportional to 2,541.12, 3,812.32 and 1,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.12 : 3,812.32 = 1,002.56 : x
2. Step 2: Convert to fraction form
   2,541.12/3,812.32 = 1,002.56/x
3. Step 3: Cross multiply
   2,541.12x = 3,812.32 × 1,002.56
4. Step 4: Simplify right side
   2,541.12x = 3,822,079.54
5. Step 5: Solve for x
   x = 3,822,079.54/2,541.12
6. Step 6: Final answer
   x = 1,504.09