Finding the Fourth Proportional to 2,124.73, 3,185.86 and 824.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124.73 : 3,185.86 = 824.68 : x
2. Step 2: Convert to fraction form
   2,124.73/3,185.86 = 824.68/x
3. Step 3: Cross multiply
   2,124.73x = 3,185.86 × 824.68
4. Step 4: Simplify right side
   2,124.73x = 2,627,315.02
5. Step 5: Solve for x
   x = 2,627,315.02/2,124.73
6. Step 6: Final answer
   x = 1,236.54