Finding the Fourth Proportional to 2,002.69, 3,004.38 and 616.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.69 : 3,004.38 = 616.00 : x
2. Step 2: Convert to fraction form
   2,002.69/3,004.38 = 616.00/x
3. Step 3: Cross multiply
   2,002.69x = 3,004.38 × 616.00
4. Step 4: Simplify right side
   2,002.69x = 1,850,686.89
5. Step 5: Solve for x
   x = 1,850,686.89/2,002.69
6. Step 6: Final answer
   x = 924.10