Finding the Fourth Proportional to 1,297.82, 1,786.32 and 1,085.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.82 : 1,786.32 = 1,085.67 : x
2. Step 2: Convert to fraction form
   1,297.82/1,786.32 = 1,085.67/x
3. Step 3: Cross multiply
   1,297.82x = 1,786.32 × 1,085.67
4. Step 4: Simplify right side
   1,297.82x = 1,939,354.03
5. Step 5: Solve for x
   x = 1,939,354.03/1,297.82
6. Step 6: Final answer
   x = 1,494.31