Finding the Fourth Proportional to 2,592.98, 3,578.39 and 1,584.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.98 : 3,578.39 = 1,584.86 : x
2. Step 2: Convert to fraction form
   2,592.98/3,578.39 = 1,584.86/x
3. Step 3: Cross multiply
   2,592.98x = 3,578.39 × 1,584.86
4. Step 4: Simplify right side
   2,592.98x = 5,671,233.25
5. Step 5: Solve for x
   x = 5,671,233.25/2,592.98
6. Step 6: Final answer
   x = 2,187.15