Finding the Fourth Proportional to 1,389.27, 1,916.49 and 829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.27 : 1,916.49 = 829.56 : x
2. Step 2: Convert to fraction form
   1,389.27/1,916.49 = 829.56/x
3. Step 3: Cross multiply
   1,389.27x = 1,916.49 × 829.56
4. Step 4: Simplify right side
   1,389.27x = 1,589,843.44
5. Step 5: Solve for x
   x = 1,589,843.44/1,389.27
6. Step 6: Final answer
   x = 1,144.37