Finding the Fourth Proportional to 2,578.47, 3,556.46 and 1,584.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.47 : 3,556.46 = 1,584.29 : x
2. Step 2: Convert to fraction form
   2,578.47/3,556.46 = 1,584.29/x
3. Step 3: Cross multiply
   2,578.47x = 3,556.46 × 1,584.29
4. Step 4: Simplify right side
   2,578.47x = 5,634,438.31
5. Step 5: Solve for x
   x = 5,634,438.31/2,578.47
6. Step 6: Final answer
   x = 2,185.19