Finding the Fourth Proportional to 2,123.30, 3,186.32 and 824.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.30 : 3,186.32 = 824.77 : x
2. Step 2: Convert to fraction form
   2,123.30/3,186.32 = 824.77/x
3. Step 3: Cross multiply
   2,123.30x = 3,186.32 × 824.77
4. Step 4: Simplify right side
   2,123.30x = 2,627,967.72
5. Step 5: Solve for x
   x = 2,627,967.72/2,123.30
6. Step 6: Final answer
   x = 1,237.68