Finding the Fourth Proportional to 2,123.07, 3,186.23 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.07 : 3,186.23 = 823.83 : x
2. Step 2: Convert to fraction form
   2,123.07/3,186.23 = 823.83/x
3. Step 3: Cross multiply
   2,123.07x = 3,186.23 × 823.83
4. Step 4: Simplify right side
   2,123.07x = 2,624,907.74
5. Step 5: Solve for x
   x = 2,624,907.74/2,123.07
6. Step 6: Final answer
   x = 1,236.37