Finding the Fourth Proportional to 1,422.21, 1,962.21 and 832.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.21 : 1,962.21 = 832.74 : x
2. Step 2: Convert to fraction form
   1,422.21/1,962.21 = 832.74/x
3. Step 3: Cross multiply
   1,422.21x = 1,962.21 × 832.74
4. Step 4: Simplify right side
   1,422.21x = 1,634,010.76
5. Step 5: Solve for x
   x = 1,634,010.76/1,422.21
6. Step 6: Final answer
   x = 1,148.92