Finding the Fourth Proportional to 2,804.40, 4,205.61 and 829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,804.40 : 4,205.61 = 829.50 : x
2. Step 2: Convert to fraction form
   2,804.40/4,205.61 = 829.50/x
3. Step 3: Cross multiply
   2,804.40x = 4,205.61 × 829.50
4. Step 4: Simplify right side
   2,804.40x = 3,488,553.50
5. Step 5: Solve for x
   x = 3,488,553.50/2,804.40
6. Step 6: Final answer
   x = 1,243.96