Finding the Fourth Proportional to 7,587.09, 10,468.77 and 5,766.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,587.09 : 10,468.77 = 5,766.42 : x
2. Step 2: Convert to fraction form
   7,587.09/10,468.77 = 5,766.42/x
3. Step 3: Cross multiply
   7,587.09x = 10,468.77 × 5,766.42
4. Step 4: Simplify right side
   7,587.09x = 60,367,324.70
5. Step 5: Solve for x
   x = 60,367,324.70/7,587.09
6. Step 6: Final answer
   x = 7,956.58