Finding the Fourth Proportional to 2,022.62, 2,784.87 and 1,838.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.62 : 2,784.87 = 1,838.07 : x
2. Step 2: Convert to fraction form
   2,022.62/2,784.87 = 1,838.07/x
3. Step 3: Cross multiply
   2,022.62x = 2,784.87 × 1,838.07
4. Step 4: Simplify right side
   2,022.62x = 5,118,786.00
5. Step 5: Solve for x
   x = 5,118,786.00/2,022.62
6. Step 6: Final answer
   x = 2,530.78