Finding the Fourth Proportional to 2,002.74, 3,004.56 and 616.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.74 : 3,004.56 = 616.20 : x
2. Step 2: Convert to fraction form
   2,002.74/3,004.56 = 616.20/x
3. Step 3: Cross multiply
   2,002.74x = 3,004.56 × 616.20
4. Step 4: Simplify right side
   2,002.74x = 1,851,409.87
5. Step 5: Solve for x
   x = 1,851,409.87/2,002.74
6. Step 6: Final answer
   x = 924.44