Finding the Fourth Proportional to 2,585.72, 3,568.42 and 1,523.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.72 : 3,568.42 = 1,523.80 : x
2. Step 2: Convert to fraction form
   2,585.72/3,568.42 = 1,523.80/x
3. Step 3: Cross multiply
   2,585.72x = 3,568.42 × 1,523.80
4. Step 4: Simplify right side
   2,585.72x = 5,437,558.40
5. Step 5: Solve for x
   x = 5,437,558.40/2,585.72
6. Step 6: Final answer
   x = 2,102.92