Finding the Fourth Proportional to 1,421.27, 1,961.50 and 832.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.27 : 1,961.50 = 832.29 : x
2. Step 2: Convert to fraction form
   1,421.27/1,961.50 = 832.29/x
3. Step 3: Cross multiply
   1,421.27x = 1,961.50 × 832.29
4. Step 4: Simplify right side
   1,421.27x = 1,632,534.75
5. Step 5: Solve for x
   x = 1,632,534.75/1,421.27
6. Step 6: Final answer
   x = 1,148.65