Finding the Fourth Proportional to 2,291.72, 3,435.59 and 829.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291.72 : 3,435.59 = 829.88 : x
2. Step 2: Convert to fraction form
   2,291.72/3,435.59 = 829.88/x
3. Step 3: Cross multiply
   2,291.72x = 3,435.59 × 829.88
4. Step 4: Simplify right side
   2,291.72x = 2,851,112.33
5. Step 5: Solve for x
   x = 2,851,112.33/2,291.72
6. Step 6: Final answer
   x = 1,244.09