Finding the Fourth Proportional to 10,568.96, 14,585.38 and 5,853.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.96 : 14,585.38 = 5,853.42 : x
2. Step 2: Convert to fraction form
   10,568.96/14,585.38 = 5,853.42/x
3. Step 3: Cross multiply
   10,568.96x = 14,585.38 × 5,853.42
4. Step 4: Simplify right side
   10,568.96x = 85,374,355.00
5. Step 5: Solve for x
   x = 85,374,355.00/10,568.96
6. Step 6: Final answer
   x = 8,077.84