Finding the Fourth Proportional to 2,284.88, 3,426.72 and 823.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284.88 : 3,426.72 = 823.76 : x
2. Step 2: Convert to fraction form
   2,284.88/3,426.72 = 823.76/x
3. Step 3: Cross multiply
   2,284.88x = 3,426.72 × 823.76
4. Step 4: Simplify right side
   2,284.88x = 2,822,794.87
5. Step 5: Solve for x
   x = 2,822,794.87/2,284.88
6. Step 6: Final answer
   x = 1,235.42