Finding the Fourth Proportional to 2,028.52, 3,038.56 and 1,782.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.52 : 3,038.56 = 1,782.03 : x
2. Step 2: Convert to fraction form
   2,028.52/3,038.56 = 1,782.03/x
3. Step 3: Cross multiply
   2,028.52x = 3,038.56 × 1,782.03
4. Step 4: Simplify right side
   2,028.52x = 5,414,805.08
5. Step 5: Solve for x
   x = 5,414,805.08/2,028.52
6. Step 6: Final answer
   x = 2,669.34