Finding the Fourth Proportional to 10,566.82, 14,582.67 and 5,851.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.82 : 14,582.67 = 5,851.10 : x
2. Step 2: Convert to fraction form
   10,566.82/14,582.67 = 5,851.10/x
3. Step 3: Cross multiply
   10,566.82x = 14,582.67 × 5,851.10
4. Step 4: Simplify right side
   10,566.82x = 85,324,696.89
5. Step 5: Solve for x
   x = 85,324,696.89/10,566.82
6. Step 6: Final answer
   x = 8,074.78