Finding the Fourth Proportional to 2,046.75, 2,825.64 and 1,442.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.75 : 2,825.64 = 1,442.03 : x
2. Step 2: Convert to fraction form
   2,046.75/2,825.64 = 1,442.03/x
3. Step 3: Cross multiply
   2,046.75x = 2,825.64 × 1,442.03
4. Step 4: Simplify right side
   2,046.75x = 4,074,643.52
5. Step 5: Solve for x
   x = 4,074,643.52/2,046.75
6. Step 6: Final answer
   x = 1,990.79