Finding the Fourth Proportional to 1,862.14, 2,569.69 and 1,022.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,862.14 : 2,569.69 = 1,022.82 : x
2. Step 2: Convert to fraction form
   1,862.14/2,569.69 = 1,022.82/x
3. Step 3: Cross multiply
   1,862.14x = 2,569.69 × 1,022.82
4. Step 4: Simplify right side
   1,862.14x = 2,628,330.33
5. Step 5: Solve for x
   x = 2,628,330.33/1,862.14
6. Step 6: Final answer
   x = 1,411.46