Finding the Fourth Proportional to 2,147.94, 3,222.25 and 686.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.94 : 3,222.25 = 686.77 : x
2. Step 2: Convert to fraction form
   2,147.94/3,222.25 = 686.77/x
3. Step 3: Cross multiply
   2,147.94x = 3,222.25 × 686.77
4. Step 4: Simplify right side
   2,147.94x = 2,212,934.86
5. Step 5: Solve for x
   x = 2,212,934.86/2,147.94
6. Step 6: Final answer
   x = 1,030.26