Finding the Fourth Proportional to 10,566.21, 14,580.81 and 5,850.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.21 : 14,580.81 = 5,850.18 : x
2. Step 2: Convert to fraction form
   10,566.21/14,580.81 = 5,850.18/x
3. Step 3: Cross multiply
   10,566.21x = 14,580.81 × 5,850.18
4. Step 4: Simplify right side
   10,566.21x = 85,300,363.05
5. Step 5: Solve for x
   x = 85,300,363.05/10,566.21
6. Step 6: Final answer
   x = 8,072.94