Finding the Fourth Proportional to 2,561.03, 3,831.83 and 1,584.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.03 : 3,831.83 = 1,584.71 : x
2. Step 2: Convert to fraction form
   2,561.03/3,831.83 = 1,584.71/x
3. Step 3: Cross multiply
   2,561.03x = 3,831.83 × 1,584.71
4. Step 4: Simplify right side
   2,561.03x = 6,072,331.40
5. Step 5: Solve for x
   x = 6,072,331.40/2,561.03
6. Step 6: Final answer
   x = 2,371.05