Finding the Fourth Proportional to 1,780.31, 2,456.83 and 1,024.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.31 : 2,456.83 = 1,024.18 : x
2. Step 2: Convert to fraction form
   1,780.31/2,456.83 = 1,024.18/x
3. Step 3: Cross multiply
   1,780.31x = 2,456.83 × 1,024.18
4. Step 4: Simplify right side
   1,780.31x = 2,516,231.29
5. Step 5: Solve for x
   x = 2,516,231.29/1,780.31
6. Step 6: Final answer
   x = 1,413.36