Finding the Fourth Proportional to 2,141.91, 3,213.12 and 825.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.91 : 3,213.12 = 825.35 : x
2. Step 2: Convert to fraction form
   2,141.91/3,213.12 = 825.35/x
3. Step 3: Cross multiply
   2,141.91x = 3,213.12 × 825.35
4. Step 4: Simplify right side
   2,141.91x = 2,651,948.59
5. Step 5: Solve for x
   x = 2,651,948.59/2,141.91
6. Step 6: Final answer
   x = 1,238.13