Finding the Fourth Proportional to 10,569.54, 14,585.94 and 5,853.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.54 : 14,585.94 = 5,853.83 : x
2. Step 2: Convert to fraction form
   10,569.54/14,585.94 = 5,853.83/x
3. Step 3: Cross multiply
   10,569.54x = 14,585.94 × 5,853.83
4. Step 4: Simplify right side
   10,569.54x = 85,383,540.22
5. Step 5: Solve for x
   x = 85,383,540.22/10,569.54
6. Step 6: Final answer
   x = 8,078.26