Finding the Fourth Proportional to 1,389.34, 1,916.38 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.34 : 1,916.38 = 829.37 : x
2. Step 2: Convert to fraction form
   1,389.34/1,916.38 = 829.37/x
3. Step 3: Cross multiply
   1,389.34x = 1,916.38 × 829.37
4. Step 4: Simplify right side
   1,389.34x = 1,589,393.91
5. Step 5: Solve for x
   x = 1,589,393.91/1,389.34
6. Step 6: Final answer
   x = 1,143.99