Finding the Fourth Proportional to 2,098.56, 3,149.64 and 1,002.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.56 : 3,149.64 = 1,002.36 : x
2. Step 2: Convert to fraction form
   2,098.56/3,149.64 = 1,002.36/x
3. Step 3: Cross multiply
   2,098.56x = 3,149.64 × 1,002.36
4. Step 4: Simplify right side
   2,098.56x = 3,157,073.15
5. Step 5: Solve for x
   x = 3,157,073.15/2,098.56
6. Step 6: Final answer
   x = 1,504.40