Finding the Fourth Proportional to 2,004.50, 3,006.77 and 1,574.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.50 : 3,006.77 = 1,574.39 : x
2. Step 2: Convert to fraction form
   2,004.50/3,006.77 = 1,574.39/x
3. Step 3: Cross multiply
   2,004.50x = 3,006.77 × 1,574.39
4. Step 4: Simplify right side
   2,004.50x = 4,733,805.71
5. Step 5: Solve for x
   x = 4,733,805.71/2,004.50
6. Step 6: Final answer
   x = 2,361.60