Finding the Fourth Proportional to 2,141.57, 3,210.40 and 824.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.57 : 3,210.40 = 824.48 : x
2. Step 2: Convert to fraction form
   2,141.57/3,210.40 = 824.48/x
3. Step 3: Cross multiply
   2,141.57x = 3,210.40 × 824.48
4. Step 4: Simplify right side
   2,141.57x = 2,646,910.59
5. Step 5: Solve for x
   x = 2,646,910.59/2,141.57
6. Step 6: Final answer
   x = 1,235.97