Finding the Fourth Proportional to 1,413.18, 1,949.10 and 1,080.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.18 : 1,949.10 = 1,080.78 : x
2. Step 2: Convert to fraction form
   1,413.18/1,949.10 = 1,080.78/x
3. Step 3: Cross multiply
   1,413.18x = 1,949.10 × 1,080.78
4. Step 4: Simplify right side
   1,413.18x = 2,106,548.30
5. Step 5: Solve for x
   x = 2,106,548.30/1,413.18
6. Step 6: Final answer
   x = 1,490.64