Finding the Fourth Proportional to 1,461.40, 2,016.78 and 832.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.40 : 2,016.78 = 832.02 : x
2. Step 2: Convert to fraction form
   1,461.40/2,016.78 = 832.02/x
3. Step 3: Cross multiply
   1,461.40x = 2,016.78 × 832.02
4. Step 4: Simplify right side
   1,461.40x = 1,677,987.05
5. Step 5: Solve for x
   x = 1,677,987.05/1,461.40
6. Step 6: Final answer
   x = 1,148.21