Finding the Fourth Proportional to 10,538.16, 14,541.57 and 5,821.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.16 : 14,541.57 = 5,821.80 : x
2. Step 2: Convert to fraction form
   10,538.16/14,541.57 = 5,821.80/x
3. Step 3: Cross multiply
   10,538.16x = 14,541.57 × 5,821.80
4. Step 4: Simplify right side
   10,538.16x = 84,658,112.23
5. Step 5: Solve for x
   x = 84,658,112.23/10,538.16
6. Step 6: Final answer
   x = 8,033.48