Finding the Fourth Proportional to 2,123.24, 3,186.06 and 824.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.24 : 3,186.06 = 824.84 : x
2. Step 2: Convert to fraction form
   2,123.24/3,186.06 = 824.84/x
3. Step 3: Cross multiply
   2,123.24x = 3,186.06 × 824.84
4. Step 4: Simplify right side
   2,123.24x = 2,627,989.73
5. Step 5: Solve for x
   x = 2,627,989.73/2,123.24
6. Step 6: Final answer
   x = 1,237.73