Finding the Fourth Proportional to 2,127.82, 3,192.96 and 829.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.82 : 3,192.96 = 829.18 : x
2. Step 2: Convert to fraction form
   2,127.82/3,192.96 = 829.18/x
3. Step 3: Cross multiply
   2,127.82x = 3,192.96 × 829.18
4. Step 4: Simplify right side
   2,127.82x = 2,647,538.57
5. Step 5: Solve for x
   x = 2,647,538.57/2,127.82
6. Step 6: Final answer
   x = 1,244.25