Finding the Fourth Proportional to 1,422.14, 1,963.10 and 832.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.14 : 1,963.10 = 832.87 : x
2. Step 2: Convert to fraction form
   1,422.14/1,963.10 = 832.87/x
3. Step 3: Cross multiply
   1,422.14x = 1,963.10 × 832.87
4. Step 4: Simplify right side
   1,422.14x = 1,635,004.27
5. Step 5: Solve for x
   x = 1,635,004.27/1,422.14
6. Step 6: Final answer
   x = 1,149.68