Finding the Fourth Proportional to 1,461.52, 2,016.96 and 832.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.52 : 2,016.96 = 832.10 : x
2. Step 2: Convert to fraction form
   1,461.52/2,016.96 = 832.10/x
3. Step 3: Cross multiply
   1,461.52x = 2,016.96 × 832.10
4. Step 4: Simplify right side
   1,461.52x = 1,678,312.42
5. Step 5: Solve for x
   x = 1,678,312.42/1,461.52
6. Step 6: Final answer
   x = 1,148.33