Finding the Fourth Proportional to 1,418.68, 1,957.49 and 829.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.68 : 1,957.49 = 829.10 : x
2. Step 2: Convert to fraction form
   1,418.68/1,957.49 = 829.10/x
3. Step 3: Cross multiply
   1,418.68x = 1,957.49 × 829.10
4. Step 4: Simplify right side
   1,418.68x = 1,622,954.96
5. Step 5: Solve for x
   x = 1,622,954.96/1,418.68
6. Step 6: Final answer
   x = 1,143.99