Finding the Fourth Proportional to 2,049.98, 3,075.46 and 589.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.98 : 3,075.46 = 589.12 : x
2. Step 2: Convert to fraction form
   2,049.98/3,075.46 = 589.12/x
3. Step 3: Cross multiply
   2,049.98x = 3,075.46 × 589.12
4. Step 4: Simplify right side
   2,049.98x = 1,811,815.00
5. Step 5: Solve for x
   x = 1,811,815.00/2,049.98
6. Step 6: Final answer
   x = 883.82