Finding the Fourth Proportional to 1,461.43, 2,016.90 and 832.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.43 : 2,016.90 = 832.15 : x
2. Step 2: Convert to fraction form
   1,461.43/2,016.90 = 832.15/x
3. Step 3: Cross multiply
   1,461.43x = 2,016.90 × 832.15
4. Step 4: Simplify right side
   1,461.43x = 1,678,363.34
5. Step 5: Solve for x
   x = 1,678,363.34/1,461.43
6. Step 6: Final answer
   x = 1,148.44