Finding the Fourth Proportional to 1,422.88, 1,963.80 and 825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.88 : 1,963.80 = 825.42 : x
2. Step 2: Convert to fraction form
   1,422.88/1,963.80 = 825.42/x
3. Step 3: Cross multiply
   1,422.88x = 1,963.80 × 825.42
4. Step 4: Simplify right side
   1,422.88x = 1,620,959.80
5. Step 5: Solve for x
   x = 1,620,959.80/1,422.88
6. Step 6: Final answer
   x = 1,139.21