Finding the Fourth Proportional to 2,290.82, 3,434.15 and 829.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290.82 : 3,434.15 = 829.64 : x
2. Step 2: Convert to fraction form
   2,290.82/3,434.15 = 829.64/x
3. Step 3: Cross multiply
   2,290.82x = 3,434.15 × 829.64
4. Step 4: Simplify right side
   2,290.82x = 2,849,118.87
5. Step 5: Solve for x
   x = 2,849,118.87/2,290.82
6. Step 6: Final answer
   x = 1,243.71