Finding the Fourth Proportional to 1,422.29, 1,962.95 and 832.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.29 : 1,962.95 = 832.82 : x
2. Step 2: Convert to fraction form
   1,422.29/1,962.95 = 832.82/x
3. Step 3: Cross multiply
   1,422.29x = 1,962.95 × 832.82
4. Step 4: Simplify right side
   1,422.29x = 1,634,770.04
5. Step 5: Solve for x
   x = 1,634,770.04/1,422.29
6. Step 6: Final answer
   x = 1,149.39