Finding the Fourth Proportional to 1,389.01, 1,916.75 and 829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.01 : 1,916.75 = 829.47 : x
2. Step 2: Convert to fraction form
   1,389.01/1,916.75 = 829.47/x
3. Step 3: Cross multiply
   1,389.01x = 1,916.75 × 829.47
4. Step 4: Simplify right side
   1,389.01x = 1,589,891.22
5. Step 5: Solve for x
   x = 1,589,891.22/1,389.01
6. Step 6: Final answer
   x = 1,144.62