Finding the Fourth Proportional to 2,152.82, 3,230.86 and 854.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.82 : 3,230.86 = 854.40 : x
2. Step 2: Convert to fraction form
   2,152.82/3,230.86 = 854.40/x
3. Step 3: Cross multiply
   2,152.82x = 3,230.86 × 854.40
4. Step 4: Simplify right side
   2,152.82x = 2,760,446.78
5. Step 5: Solve for x
   x = 2,760,446.78/2,152.82
6. Step 6: Final answer
   x = 1,282.25