Finding the Fourth Proportional to 2,003.58, 2,759.80 and 1,413.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.58 : 2,759.80 = 1,413.08 : x
2. Step 2: Convert to fraction form
   2,003.58/2,759.80 = 1,413.08/x
3. Step 3: Cross multiply
   2,003.58x = 2,759.80 × 1,413.08
4. Step 4: Simplify right side
   2,003.58x = 3,899,818.18
5. Step 5: Solve for x
   x = 3,899,818.18/2,003.58
6. Step 6: Final answer
   x = 1,946.42