Finding the Fourth Proportional to 2,002.98, 3,006.66 and 849.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.98 : 3,006.66 = 849.54 : x
2. Step 2: Convert to fraction form
   2,002.98/3,006.66 = 849.54/x
3. Step 3: Cross multiply
   2,002.98x = 3,006.66 × 849.54
4. Step 4: Simplify right side
   2,002.98x = 2,554,277.94
5. Step 5: Solve for x
   x = 2,554,277.94/2,002.98
6. Step 6: Final answer
   x = 1,275.24