Finding the Fourth Proportional to 10,540.57, 14,546.28 and 5,825.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.57 : 14,546.28 = 5,825.16 : x
2. Step 2: Convert to fraction form
   10,540.57/14,546.28 = 5,825.16/x
3. Step 3: Cross multiply
   10,540.57x = 14,546.28 × 5,825.16
4. Step 4: Simplify right side
   10,540.57x = 84,734,408.40
5. Step 5: Solve for x
   x = 84,734,408.40/10,540.57
6. Step 6: Final answer
   x = 8,038.88