Finding the Fourth Proportional to 10,541.27, 14,546.39 and 5,825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.27 : 14,546.39 = 5,825.25 : x
2. Step 2: Convert to fraction form
   10,541.27/14,546.39 = 5,825.25/x
3. Step 3: Cross multiply
   10,541.27x = 14,546.39 × 5,825.25
4. Step 4: Simplify right side
   10,541.27x = 84,736,329.22
5. Step 5: Solve for x
   x = 84,736,329.22/10,541.27
6. Step 6: Final answer
   x = 8,038.53