Finding the Fourth Proportional to 2,002.96, 3,004.98 and 1,013.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.96 : 3,004.98 = 1,013.38 : x
2. Step 2: Convert to fraction form
   2,002.96/3,004.98 = 1,013.38/x
3. Step 3: Cross multiply
   2,002.96x = 3,004.98 × 1,013.38
4. Step 4: Simplify right side
   2,002.96x = 3,045,186.63
5. Step 5: Solve for x
   x = 3,045,186.63/2,002.96
6. Step 6: Final answer
   x = 1,520.34