Finding the Fourth Proportional to 1,389.24, 1,916.07 and 829.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.24 : 1,916.07 = 829.59 : x
2. Step 2: Convert to fraction form
   1,389.24/1,916.07 = 829.59/x
3. Step 3: Cross multiply
   1,389.24x = 1,916.07 × 829.59
4. Step 4: Simplify right side
   1,389.24x = 1,589,552.51
5. Step 5: Solve for x
   x = 1,589,552.51/1,389.24
6. Step 6: Final answer
   x = 1,144.19