Finding the Fourth Proportional to 10,541.69, 14,547.39 and 5,826.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.69 : 14,547.39 = 5,826.05 : x
2. Step 2: Convert to fraction form
   10,541.69/14,547.39 = 5,826.05/x
3. Step 3: Cross multiply
   10,541.69x = 14,547.39 × 5,826.05
4. Step 4: Simplify right side
   10,541.69x = 84,753,821.51
5. Step 5: Solve for x
   x = 84,753,821.51/10,541.69
6. Step 6: Final answer
   x = 8,039.87