Finding the Fourth Proportional to 1,584.24, 2,185.80 and 1,024.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.24 : 2,185.80 = 1,024.72 : x
2. Step 2: Convert to fraction form
   1,584.24/2,185.80 = 1,024.72/x
3. Step 3: Cross multiply
   1,584.24x = 2,185.80 × 1,024.72
4. Step 4: Simplify right side
   1,584.24x = 2,239,832.98
5. Step 5: Solve for x
   x = 2,239,832.98/1,584.24
6. Step 6: Final answer
   x = 1,413.82