Finding the Fourth Proportional to 2,122.89, 3,185.55 and 824.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,122.89 : 3,185.55 = 824.19 : x
2. Step 2: Convert to fraction form
   2,122.89/3,185.55 = 824.19/x
3. Step 3: Cross multiply
   2,122.89x = 3,185.55 × 824.19
4. Step 4: Simplify right side
   2,122.89x = 2,625,498.45
5. Step 5: Solve for x
   x = 2,625,498.45/2,122.89
6. Step 6: Final answer
   x = 1,236.76