Finding the Fourth Proportional to 2,678.16, 4,017.32 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.16 : 4,017.32 = 829.31 : x
2. Step 2: Convert to fraction form
   2,678.16/4,017.32 = 829.31/x
3. Step 3: Cross multiply
   2,678.16x = 4,017.32 × 829.31
4. Step 4: Simplify right side
   2,678.16x = 3,331,599.50
5. Step 5: Solve for x
   x = 3,331,599.50/2,678.16
6. Step 6: Final answer
   x = 1,243.99