Finding the Fourth Proportional to 10,566.69, 14,580.81 and 5,850.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.69 : 14,580.81 = 5,850.69 : x
2. Step 2: Convert to fraction form
   10,566.69/14,580.81 = 5,850.69/x
3. Step 3: Cross multiply
   10,566.69x = 14,580.81 × 5,850.69
4. Step 4: Simplify right side
   10,566.69x = 85,307,799.26
5. Step 5: Solve for x
   x = 85,307,799.26/10,566.69
6. Step 6: Final answer
   x = 8,073.28