Finding the Fourth Proportional to 2,584.25, 3,872.91 and 1,412.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.25 : 3,872.91 = 1,412.51 : x
2. Step 2: Convert to fraction form
   2,584.25/3,872.91 = 1,412.51/x
3. Step 3: Cross multiply
   2,584.25x = 3,872.91 × 1,412.51
4. Step 4: Simplify right side
   2,584.25x = 5,470,504.74
5. Step 5: Solve for x
   x = 5,470,504.74/2,584.25
6. Step 6: Final answer
   x = 2,116.86