Finding the Fourth Proportional to 10,541.89, 14,547.24 and 5,825.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.89 : 14,547.24 = 5,825.89 : x
2. Step 2: Convert to fraction form
   10,541.89/14,547.24 = 5,825.89/x
3. Step 3: Cross multiply
   10,541.89x = 14,547.24 × 5,825.89
4. Step 4: Simplify right side
   10,541.89x = 84,750,620.04
5. Step 5: Solve for x
   x = 84,750,620.04/10,541.89
6. Step 6: Final answer
   x = 8,039.41