Finding the Fourth Proportional to 2,562.40, 3,844.80 and 1,002.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.40 : 3,844.80 = 1,002.00 : x
2. Step 2: Convert to fraction form
   2,562.40/3,844.80 = 1,002.00/x
3. Step 3: Cross multiply
   2,562.40x = 3,844.80 × 1,002.00
4. Step 4: Simplify right side
   2,562.40x = 3,852,498.69
5. Step 5: Solve for x
   x = 3,852,498.69/2,562.40
6. Step 6: Final answer
   x = 1,503.47