Finding the Fourth Proportional to 10,536.94, 14,540.83 and 5,821.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.94 : 14,540.83 = 5,821.30 : x
2. Step 2: Convert to fraction form
   10,536.94/14,540.83 = 5,821.30/x
3. Step 3: Cross multiply
   10,536.94x = 14,540.83 × 5,821.30
4. Step 4: Simplify right side
   10,536.94x = 84,646,533.68
5. Step 5: Solve for x
   x = 84,646,533.68/10,536.94
6. Step 6: Final answer
   x = 8,033.31