Finding the Fourth Proportional to 2,561.21, 3,841.77 and 829.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.21 : 3,841.77 = 829.84 : x
2. Step 2: Convert to fraction form
   2,561.21/3,841.77 = 829.84/x
3. Step 3: Cross multiply
   2,561.21x = 3,841.77 × 829.84
4. Step 4: Simplify right side
   2,561.21x = 3,188,050.27
5. Step 5: Solve for x
   x = 3,188,050.27/2,561.21
6. Step 6: Final answer
   x = 1,244.74