Finding the Fourth Proportional to 10,540.75, 14,546.51 and 5,760.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.75 : 14,546.51 = 5,760.89 : x
2. Step 2: Convert to fraction form
   10,540.75/14,546.51 = 5,760.89/x
3. Step 3: Cross multiply
   10,540.75x = 14,546.51 × 5,760.89
4. Step 4: Simplify right side
   10,540.75x = 83,800,815.19
5. Step 5: Solve for x
   x = 83,800,815.19/10,540.75
6. Step 6: Final answer
   x = 7,950.18