Finding the Fourth Proportional to 1,418.77, 1,957.27 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.77 : 1,957.27 = 829.05 : x
2. Step 2: Convert to fraction form
   1,418.77/1,957.27 = 829.05/x
3. Step 3: Cross multiply
   1,418.77x = 1,957.27 × 829.05
4. Step 4: Simplify right side
   1,418.77x = 1,622,674.69
5. Step 5: Solve for x
   x = 1,622,674.69/1,418.77
6. Step 6: Final answer
   x = 1,143.72