Finding the Fourth Proportional to 2,285.88, 3,426.77 and 824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,285.88 : 3,426.77 = 824.69 : x
2. Step 2: Convert to fraction form
   2,285.88/3,426.77 = 824.69/x
3. Step 3: Cross multiply
   2,285.88x = 3,426.77 × 824.69
4. Step 4: Simplify right side
   2,285.88x = 2,826,022.95
5. Step 5: Solve for x
   x = 2,826,022.95/2,285.88
6. Step 6: Final answer
   x = 1,236.30