Finding the Fourth Proportional to 1,389.32, 1,916.03 and 829.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.32 : 1,916.03 = 829.59 : x
2. Step 2: Convert to fraction form
   1,389.32/1,916.03 = 829.59/x
3. Step 3: Cross multiply
   1,389.32x = 1,916.03 × 829.59
4. Step 4: Simplify right side
   1,389.32x = 1,589,515.18
5. Step 5: Solve for x
   x = 1,589,515.18/1,389.32
6. Step 6: Final answer
   x = 1,144.09