Finding the Fourth Proportional to 2,146.30, 3,219.75 and 685.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.30 : 3,219.75 = 685.26 : x
2. Step 2: Convert to fraction form
   2,146.30/3,219.75 = 685.26/x
3. Step 3: Cross multiply
   2,146.30x = 3,219.75 × 685.26
4. Step 4: Simplify right side
   2,146.30x = 2,206,365.89
5. Step 5: Solve for x
   x = 2,206,365.89/2,146.30
6. Step 6: Final answer
   x = 1,027.99