Finding the Fourth Proportional to 10,536.96, 14,540.64 and 5,821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.96 : 14,540.64 = 5,821.52 : x
2. Step 2: Convert to fraction form
   10,536.96/14,540.64 = 5,821.52/x
3. Step 3: Cross multiply
   10,536.96x = 14,540.64 × 5,821.52
4. Step 4: Simplify right side
   10,536.96x = 84,648,626.57
5. Step 5: Solve for x
   x = 84,648,626.57/10,536.96
6. Step 6: Final answer
   x = 8,033.50