Finding the Fourth Proportional to 2,053.62, 3,074.49 and 1,822.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.62 : 3,074.49 = 1,822.05 : x
2. Step 2: Convert to fraction form
   2,053.62/3,074.49 = 1,822.05/x
3. Step 3: Cross multiply
   2,053.62x = 3,074.49 × 1,822.05
4. Step 4: Simplify right side
   2,053.62x = 5,601,874.50
5. Step 5: Solve for x
   x = 5,601,874.50/2,053.62
6. Step 6: Final answer
   x = 2,727.80