Finding the Fourth Proportional to 3,705.89, 5,114.27 and 2,027.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.89 : 5,114.27 = 2,027.20 : x
2. Step 2: Convert to fraction form
   3,705.89/5,114.27 = 2,027.20/x
3. Step 3: Cross multiply
   3,705.89x = 5,114.27 × 2,027.20
4. Step 4: Simplify right side
   3,705.89x = 10,367,612.44
5. Step 5: Solve for x
   x = 10,367,612.44/3,705.89
6. Step 6: Final answer
   x = 2,797.60