Finding the Fourth Proportional to 2,141.81, 3,212.98 and 825.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.81 : 3,212.98 = 825.53 : x
2. Step 2: Convert to fraction form
   2,141.81/3,212.98 = 825.53/x
3. Step 3: Cross multiply
   2,141.81x = 3,212.98 × 825.53
4. Step 4: Simplify right side
   2,141.81x = 2,652,397.89
5. Step 5: Solve for x
   x = 2,652,397.89/2,141.81
6. Step 6: Final answer
   x = 1,238.39