Finding the Fourth Proportional to 2,003.84, 2,760.14 and 1,413.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.84 : 2,760.14 = 1,413.36 : x
2. Step 2: Convert to fraction form
   2,003.84/2,760.14 = 1,413.36/x
3. Step 3: Cross multiply
   2,003.84x = 2,760.14 × 1,413.36
4. Step 4: Simplify right side
   2,003.84x = 3,901,071.47
5. Step 5: Solve for x
   x = 3,901,071.47/2,003.84
6. Step 6: Final answer
   x = 1,946.80