Finding the Fourth Proportional to 2,585.53, 3,568.34 and 1,537.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.53 : 3,568.34 = 1,537.59 : x
2. Step 2: Convert to fraction form
   2,585.53/3,568.34 = 1,537.59/x
3. Step 3: Cross multiply
   2,585.53x = 3,568.34 × 1,537.59
4. Step 4: Simplify right side
   2,585.53x = 5,486,661.13
5. Step 5: Solve for x
   x = 5,486,661.13/2,585.53
6. Step 6: Final answer
   x = 2,122.06