Finding the Fourth Proportional to 1,297.37, 1,789.38 and 825.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.37 : 1,789.38 = 825.34 : x
2. Step 2: Convert to fraction form
   1,297.37/1,789.38 = 825.34/x
3. Step 3: Cross multiply
   1,297.37x = 1,789.38 × 825.34
4. Step 4: Simplify right side
   1,297.37x = 1,476,842.76
5. Step 5: Solve for x
   x = 1,476,842.76/1,297.37
6. Step 6: Final answer
   x = 1,138.34