Finding the Fourth Proportional to 2,123.76, 3,185.28 and 824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.76 : 3,185.28 = 824.56 : x
2. Step 2: Convert to fraction form
   2,123.76/3,185.28 = 824.56/x
3. Step 3: Cross multiply
   2,123.76x = 3,185.28 × 824.56
4. Step 4: Simplify right side
   2,123.76x = 2,626,454.48
5. Step 5: Solve for x
   x = 2,626,454.48/2,123.76
6. Step 6: Final answer
   x = 1,236.70