Finding the Fourth Proportional to 1,610.31, 2,414.25 and 829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.31 : 2,414.25 = 829.47 : x
2. Step 2: Convert to fraction form
   1,610.31/2,414.25 = 829.47/x
3. Step 3: Cross multiply
   1,610.31x = 2,414.25 × 829.47
4. Step 4: Simplify right side
   1,610.31x = 2,002,547.95
5. Step 5: Solve for x
   x = 2,002,547.95/1,610.31
6. Step 6: Final answer
   x = 1,243.58