Finding the Fourth Proportional to 1,729.62, 2,594.59 and 689.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.62 : 2,594.59 = 689.37 : x
2. Step 2: Convert to fraction form
   1,729.62/2,594.59 = 689.37/x
3. Step 3: Cross multiply
   1,729.62x = 2,594.59 × 689.37
4. Step 4: Simplify right side
   1,729.62x = 1,788,632.51
5. Step 5: Solve for x
   x = 1,788,632.51/1,729.62
6. Step 6: Final answer
   x = 1,034.12