Finding the Fourth Proportional to 2,049.12, 3,069.72 and 1,585.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.12 : 3,069.72 = 1,585.26 : x
2. Step 2: Convert to fraction form
   2,049.12/3,069.72 = 1,585.26/x
3. Step 3: Cross multiply
   2,049.12x = 3,069.72 × 1,585.26
4. Step 4: Simplify right side
   2,049.12x = 4,866,304.33
5. Step 5: Solve for x
   x = 4,866,304.33/2,049.12
6. Step 6: Final answer
   x = 2,374.83