Finding the Fourth Proportional to 5,049.60, 7,581.42 and 2,586.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,049.60 : 7,581.42 = 2,586.12 : x
2. Step 2: Convert to fraction form
   5,049.60/7,581.42 = 2,586.12/x
3. Step 3: Cross multiply
   5,049.60x = 7,581.42 × 2,586.12
4. Step 4: Simplify right side
   5,049.60x = 19,606,461.89
5. Step 5: Solve for x
   x = 19,606,461.89/5,049.60
6. Step 6: Final answer
   x = 3,882.78