Finding the Fourth Proportional to 2,252.16, 3,107.82 and 1,412.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,252.16 : 3,107.82 = 1,412.82 : x
2. Step 2: Convert to fraction form
   2,252.16/3,107.82 = 1,412.82/x
3. Step 3: Cross multiply
   2,252.16x = 3,107.82 × 1,412.82
4. Step 4: Simplify right side
   2,252.16x = 4,390,790.25
5. Step 5: Solve for x
   x = 4,390,790.25/2,252.16
6. Step 6: Final answer
   x = 1,949.59