Finding the Fourth Proportional to 2,022.02, 3,029.78 and 1,827.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.02 : 3,029.78 = 1,827.62 : x
2. Step 2: Convert to fraction form
   2,022.02/3,029.78 = 1,827.62/x
3. Step 3: Cross multiply
   2,022.02x = 3,029.78 × 1,827.62
4. Step 4: Simplify right side
   2,022.02x = 5,537,286.52
5. Step 5: Solve for x
   x = 5,537,286.52/2,022.02
6. Step 6: Final answer
   x = 2,738.49