Finding the Fourth Proportional to 1,466.89, 2,197.39 and 685.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.89 : 2,197.39 = 685.82 : x
2. Step 2: Convert to fraction form
   1,466.89/2,197.39 = 685.82/x
3. Step 3: Cross multiply
   1,466.89x = 2,197.39 × 685.82
4. Step 4: Simplify right side
   1,466.89x = 1,507,014.01
5. Step 5: Solve for x
   x = 1,507,014.01/1,466.89
6. Step 6: Final answer
   x = 1,027.35