Finding the Fourth Proportional to 2,123.66, 3,182.16 and 824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.66 : 3,182.16 = 824.42 : x
2. Step 2: Convert to fraction form
   2,123.66/3,182.16 = 824.42/x
3. Step 3: Cross multiply
   2,123.66x = 3,182.16 × 824.42
4. Step 4: Simplify right side
   2,123.66x = 2,623,436.35
5. Step 5: Solve for x
   x = 2,623,436.35/2,123.66
6. Step 6: Final answer
   x = 1,235.34