Finding the Fourth Proportional to 10,541.26, 14,546.72 and 5,825.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.26 : 14,546.72 = 5,825.44 : x
2. Step 2: Convert to fraction form
   10,541.26/14,546.72 = 5,825.44/x
3. Step 3: Cross multiply
   10,541.26x = 14,546.72 × 5,825.44
4. Step 4: Simplify right side
   10,541.26x = 84,741,044.56
5. Step 5: Solve for x
   x = 84,741,044.56/10,541.26
6. Step 6: Final answer
   x = 8,038.99