Finding the Fourth Proportional to 7,843.34, 10,823.83 and 4,306.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,843.34 : 10,823.83 = 4,306.78 : x
2. Step 2: Convert to fraction form
   7,843.34/10,823.83 = 4,306.78/x
3. Step 3: Cross multiply
   7,843.34x = 10,823.83 × 4,306.78
4. Step 4: Simplify right side
   7,843.34x = 46,615,854.57
5. Step 5: Solve for x
   x = 46,615,854.57/7,843.34
6. Step 6: Final answer
   x = 5,943.37