Finding the Fourth Proportional to 1,584.09, 2,185.51 and 1,025.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.09 : 2,185.51 = 1,025.27 : x
2. Step 2: Convert to fraction form
   1,584.09/2,185.51 = 1,025.27/x
3. Step 3: Cross multiply
   1,584.09x = 2,185.51 × 1,025.27
4. Step 4: Simplify right side
   1,584.09x = 2,240,726.91
5. Step 5: Solve for x
   x = 2,240,726.91/1,584.09
6. Step 6: Final answer
   x = 1,414.52