Finding the Fourth Proportional to 1,461.47, 2,016.77 and 832.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.47 : 2,016.77 = 832.03 : x
2. Step 2: Convert to fraction form
   1,461.47/2,016.77 = 832.03/x
3. Step 3: Cross multiply
   1,461.47x = 2,016.77 × 832.03
4. Step 4: Simplify right side
   1,461.47x = 1,678,003.94
5. Step 5: Solve for x
   x = 1,678,003.94/1,461.47
6. Step 6: Final answer
   x = 1,148.17