Finding the Fourth Proportional to 10,542.09, 14,547.50 and 5,826.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.09 : 14,547.50 = 5,826.07 : x
2. Step 2: Convert to fraction form
   10,542.09/14,547.50 = 5,826.07/x
3. Step 3: Cross multiply
   10,542.09x = 14,547.50 × 5,826.07
4. Step 4: Simplify right side
   10,542.09x = 84,754,753.33
5. Step 5: Solve for x
   x = 84,754,753.33/10,542.09
6. Step 6: Final answer
   x = 8,039.65