Finding the Fourth Proportional to 2,151.78, 3,229.50 and 854.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.78 : 3,229.50 = 854.16 : x
2. Step 2: Convert to fraction form
   2,151.78/3,229.50 = 854.16/x
3. Step 3: Cross multiply
   2,151.78x = 3,229.50 × 854.16
4. Step 4: Simplify right side
   2,151.78x = 2,758,509.72
5. Step 5: Solve for x
   x = 2,758,509.72/2,151.78
6. Step 6: Final answer
   x = 1,281.97