Finding the Fourth Proportional to 2,123.61, 3,185.96 and 824.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.61 : 3,185.96 = 824.64 : x
2. Step 2: Convert to fraction form
   2,123.61/3,185.96 = 824.64/x
3. Step 3: Cross multiply
   2,123.61x = 3,185.96 × 824.64
4. Step 4: Simplify right side
   2,123.61x = 2,627,270.05
5. Step 5: Solve for x
   x = 2,627,270.05/2,123.61
6. Step 6: Final answer
   x = 1,237.17