Finding the Fourth Proportional to 10,566.75, 14,582.12 and 5,851.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.75 : 14,582.12 = 5,851.34 : x
2. Step 2: Convert to fraction form
   10,566.75/14,582.12 = 5,851.34/x
3. Step 3: Cross multiply
   10,566.75x = 14,582.12 × 5,851.34
4. Step 4: Simplify right side
   10,566.75x = 85,324,942.04
5. Step 5: Solve for x
   x = 85,324,942.04/10,566.75
6. Step 6: Final answer
   x = 8,074.85