Finding the Fourth Proportional to 2,141.81, 3,210.77 and 824.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.81 : 3,210.77 = 824.73 : x
2. Step 2: Convert to fraction form
   2,141.81/3,210.77 = 824.73/x
3. Step 3: Cross multiply
   2,141.81x = 3,210.77 × 824.73
4. Step 4: Simplify right side
   2,141.81x = 2,648,018.34
5. Step 5: Solve for x
   x = 2,648,018.34/2,141.81
6. Step 6: Final answer
   x = 1,236.35