Finding the Fourth Proportional to 1,422.58, 1,963.05 and 825.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.58 : 1,963.05 = 825.10 : x
2. Step 2: Convert to fraction form
   1,422.58/1,963.05 = 825.10/x
3. Step 3: Cross multiply
   1,422.58x = 1,963.05 × 825.10
4. Step 4: Simplify right side
   1,422.58x = 1,619,712.56
5. Step 5: Solve for x
   x = 1,619,712.56/1,422.58
6. Step 6: Final answer
   x = 1,138.57