Finding the Fourth Proportional to 2,142.94, 3,212.58 and 825.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.94 : 3,212.58 = 825.94 : x
2. Step 2: Convert to fraction form
   2,142.94/3,212.58 = 825.94/x
3. Step 3: Cross multiply
   2,142.94x = 3,212.58 × 825.94
4. Step 4: Simplify right side
   2,142.94x = 2,653,398.33
5. Step 5: Solve for x
   x = 2,653,398.33/2,142.94
6. Step 6: Final answer
   x = 1,238.20