Finding the Fourth Proportional to 2,592.80, 3,578.04 and 1,597.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.80 : 3,578.04 = 1,597.68 : x
2. Step 2: Convert to fraction form
   2,592.80/3,578.04 = 1,597.68/x
3. Step 3: Cross multiply
   2,592.80x = 3,578.04 × 1,597.68
4. Step 4: Simplify right side
   2,592.80x = 5,716,562.95
5. Step 5: Solve for x
   x = 5,716,562.95/2,592.80
6. Step 6: Final answer
   x = 2,204.78