Finding the Fourth Proportional to 1,422.09, 1,961.85 and 832.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.09 : 1,961.85 = 832.35 : x
2. Step 2: Convert to fraction form
   1,422.09/1,961.85 = 832.35/x
3. Step 3: Cross multiply
   1,422.09x = 1,961.85 × 832.35
4. Step 4: Simplify right side
   1,422.09x = 1,632,945.85
5. Step 5: Solve for x
   x = 1,632,945.85/1,422.09
6. Step 6: Final answer
   x = 1,148.27