Finding the Fourth Proportional to 2,580.10, 3,869.79 and 1,019.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.10 : 3,869.79 = 1,019.71 : x
2. Step 2: Convert to fraction form
   2,580.10/3,869.79 = 1,019.71/x
3. Step 3: Cross multiply
   2,580.10x = 3,869.79 × 1,019.71
4. Step 4: Simplify right side
   2,580.10x = 3,946,048.54
5. Step 5: Solve for x
   x = 3,946,048.54/2,580.10
6. Step 6: Final answer
   x = 1,529.42