Finding the Fourth Proportional to 2,597.92, 3,584.80 and 1,478.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.92 : 3,584.80 = 1,478.70 : x
2. Step 2: Convert to fraction form
   2,597.92/3,584.80 = 1,478.70/x
3. Step 3: Cross multiply
   2,597.92x = 3,584.80 × 1,478.70
4. Step 4: Simplify right side
   2,597.92x = 5,300,853.39
5. Step 5: Solve for x
   x = 5,300,853.39/2,597.92
6. Step 6: Final answer
   x = 2,040.42