Finding the Fourth Proportional to 2,292.32, 3,435.71 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.32 : 3,435.71 = 829.78 : x
2. Step 2: Convert to fraction form
   2,292.32/3,435.71 = 829.78/x
3. Step 3: Cross multiply
   2,292.32x = 3,435.71 × 829.78
4. Step 4: Simplify right side
   2,292.32x = 2,850,870.71
5. Step 5: Solve for x
   x = 2,850,870.71/2,292.32
6. Step 6: Final answer
   x = 1,243.66