Finding the Fourth Proportional to 10,569.15, 14,585.31 and 5,853.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.15 : 14,585.31 = 5,853.42 : x
2. Step 2: Convert to fraction form
   10,569.15/14,585.31 = 5,853.42/x
3. Step 3: Cross multiply
   10,569.15x = 14,585.31 × 5,853.42
4. Step 4: Simplify right side
   10,569.15x = 85,373,945.26
5. Step 5: Solve for x
   x = 85,373,945.26/10,569.15
6. Step 6: Final answer
   x = 8,077.65