Finding the Fourth Proportional to 2,145.53, 3,218.45 and 684.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,145.53 : 3,218.45 = 684.83 : x
2. Step 2: Convert to fraction form
   2,145.53/3,218.45 = 684.83/x
3. Step 3: Cross multiply
   2,145.53x = 3,218.45 × 684.83
4. Step 4: Simplify right side
   2,145.53x = 2,204,071.60
5. Step 5: Solve for x
   x = 2,204,071.60/2,145.53
6. Step 6: Final answer
   x = 1,027.29