Finding the Fourth Proportional to 10,536.75, 14,540.72 and 5,821.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.75 : 14,540.72 = 5,821.34 : x
2. Step 2: Convert to fraction form
   10,536.75/14,540.72 = 5,821.34/x
3. Step 3: Cross multiply
   10,536.75x = 14,540.72 × 5,821.34
4. Step 4: Simplify right side
   10,536.75x = 84,646,373.15
5. Step 5: Solve for x
   x = 84,646,373.15/10,536.75
6. Step 6: Final answer
   x = 8,033.44