Finding the Fourth Proportional to 10,536.57, 14,540.76 and 5,821.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.57 : 14,540.76 = 5,821.16 : x
2. Step 2: Convert to fraction form
   10,536.57/14,540.76 = 5,821.16/x
3. Step 3: Cross multiply
   10,536.57x = 14,540.76 × 5,821.16
4. Step 4: Simplify right side
   10,536.57x = 84,644,017.78
5. Step 5: Solve for x
   x = 84,644,017.78/10,536.57
6. Step 6: Final answer
   x = 8,033.36