Finding the Fourth Proportional to 2,579.16, 3,561.09 and 1,585.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.16 : 3,561.09 = 1,585.77 : x
2. Step 2: Convert to fraction form
   2,579.16/3,561.09 = 1,585.77/x
3. Step 3: Cross multiply
   2,579.16x = 3,561.09 × 1,585.77
4. Step 4: Simplify right side
   2,579.16x = 5,647,069.69
5. Step 5: Solve for x
   x = 5,647,069.69/2,579.16
6. Step 6: Final answer
   x = 2,189.50