Finding the Fourth Proportional to 1,418.67, 1,957.76 and 829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.67 : 1,957.76 = 829.47 : x
2. Step 2: Convert to fraction form
   1,418.67/1,957.76 = 829.47/x
3. Step 3: Cross multiply
   1,418.67x = 1,957.76 × 829.47
4. Step 4: Simplify right side
   1,418.67x = 1,623,899.04
5. Step 5: Solve for x
   x = 1,623,899.04/1,418.67
6. Step 6: Final answer
   x = 1,144.66