Finding the Fourth Proportional to 1,461.57, 2,016.96 and 832.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.57 : 2,016.96 = 832.22 : x
2. Step 2: Convert to fraction form
   1,461.57/2,016.96 = 832.22/x
3. Step 3: Cross multiply
   1,461.57x = 2,016.96 × 832.22
4. Step 4: Simplify right side
   1,461.57x = 1,678,544.37
5. Step 5: Solve for x
   x = 1,678,544.37/1,461.57
6. Step 6: Final answer
   x = 1,148.45