Finding the Fourth Proportional to 2,586.30, 3,568.77 and 2,142.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.30 : 3,568.77 = 2,142.42 : x
2. Step 2: Convert to fraction form
   2,586.30/3,568.77 = 2,142.42/x
3. Step 3: Cross multiply
   2,586.30x = 3,568.77 × 2,142.42
4. Step 4: Simplify right side
   2,586.30x = 7,645,804.22
5. Step 5: Solve for x
   x = 7,645,804.22/2,586.30
6. Step 6: Final answer
   x = 2,956.27