Finding the Fourth Proportional to 2,081.60, 3,138.68 and 1,822.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.60 : 3,138.68 = 1,822.40 : x
2. Step 2: Convert to fraction form
   2,081.60/3,138.68 = 1,822.40/x
3. Step 3: Cross multiply
   2,081.60x = 3,138.68 × 1,822.40
4. Step 4: Simplify right side
   2,081.60x = 5,719,930.43
5. Step 5: Solve for x
   x = 5,719,930.43/2,081.60
6. Step 6: Final answer
   x = 2,747.85