Finding the Fourth Proportional to 1,422.71, 1,963.27 and 825.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.71 : 1,963.27 = 825.17 : x
2. Step 2: Convert to fraction form
   1,422.71/1,963.27 = 825.17/x
3. Step 3: Cross multiply
   1,422.71x = 1,963.27 × 825.17
4. Step 4: Simplify right side
   1,422.71x = 1,620,031.51
5. Step 5: Solve for x
   x = 1,620,031.51/1,422.71
6. Step 6: Final answer
   x = 1,138.69