Finding the Fourth Proportional to 2,146.29, 3,219.31 and 685.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.29 : 3,219.31 = 685.24 : x
2. Step 2: Convert to fraction form
   2,146.29/3,219.31 = 685.24/x
3. Step 3: Cross multiply
   2,146.29x = 3,219.31 × 685.24
4. Step 4: Simplify right side
   2,146.29x = 2,205,999.98
5. Step 5: Solve for x
   x = 2,205,999.98/2,146.29
6. Step 6: Final answer
   x = 1,027.82