Finding the Fourth Proportional to 2,511.43, 3,765.04 and 1,586.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.43 : 3,765.04 = 1,586.72 : x
2. Step 2: Convert to fraction form
   2,511.43/3,765.04 = 1,586.72/x
3. Step 3: Cross multiply
   2,511.43x = 3,765.04 × 1,586.72
4. Step 4: Simplify right side
   2,511.43x = 5,974,064.27
5. Step 5: Solve for x
   x = 5,974,064.27/2,511.43
6. Step 6: Final answer
   x = 2,378.75