Finding the Fourth Proportional to 2,123.83, 3,184.50 and 823.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.83 : 3,184.50 = 823.78 : x
2. Step 2: Convert to fraction form
   2,123.83/3,184.50 = 823.78/x
3. Step 3: Cross multiply
   2,123.83x = 3,184.50 × 823.78
4. Step 4: Simplify right side
   2,123.83x = 2,623,311.49
5. Step 5: Solve for x
   x = 2,623,311.49/2,123.83
6. Step 6: Final answer
   x = 1,235.18