Finding the Fourth Proportional to 1,421.92, 1,962.27 and 832.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.92 : 1,962.27 = 832.42 : x
2. Step 2: Convert to fraction form
   1,421.92/1,962.27 = 832.42/x
3. Step 3: Cross multiply
   1,421.92x = 1,962.27 × 832.42
4. Step 4: Simplify right side
   1,421.92x = 1,633,432.79
5. Step 5: Solve for x
   x = 1,633,432.79/1,421.92
6. Step 6: Final answer
   x = 1,148.75