Finding the Fourth Proportional to 1,810.78, 2,498.71 and 1,024.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,810.78 : 2,498.71 = 1,024.70 : x
2. Step 2: Convert to fraction form
   1,810.78/2,498.71 = 1,024.70/x
3. Step 3: Cross multiply
   1,810.78x = 2,498.71 × 1,024.70
4. Step 4: Simplify right side
   1,810.78x = 2,560,428.14
5. Step 5: Solve for x
   x = 2,560,428.14/1,810.78
6. Step 6: Final answer
   x = 1,413.99