Finding the Fourth Proportional to 2,141.83, 3,212.24 and 825.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.83 : 3,212.24 = 825.14 : x
2. Step 2: Convert to fraction form
   2,141.83/3,212.24 = 825.14/x
3. Step 3: Cross multiply
   2,141.83x = 3,212.24 × 825.14
4. Step 4: Simplify right side
   2,141.83x = 2,650,543.59
5. Step 5: Solve for x
   x = 2,650,543.59/2,141.83
6. Step 6: Final answer
   x = 1,237.52