Finding the Fourth Proportional to 2,049.93, 2,830.20 and 1,420.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.93 : 2,830.20 = 1,420.23 : x
2. Step 2: Convert to fraction form
   2,049.93/2,830.20 = 1,420.23/x
3. Step 3: Cross multiply
   2,049.93x = 2,830.20 × 1,420.23
4. Step 4: Simplify right side
   2,049.93x = 4,019,540.23
5. Step 5: Solve for x
   x = 4,019,540.23/2,049.93
6. Step 6: Final answer
   x = 1,960.82