Finding the Fourth Proportional to 10,540.78, 14,546.22 and 5,825.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.78 : 14,546.22 = 5,825.02 : x
2. Step 2: Convert to fraction form
   10,540.78/14,546.22 = 5,825.02/x
3. Step 3: Cross multiply
   10,540.78x = 14,546.22 × 5,825.02
4. Step 4: Simplify right side
   10,540.78x = 84,732,022.42
5. Step 5: Solve for x
   x = 84,732,022.42/10,540.78
6. Step 6: Final answer
   x = 8,038.50