Finding the Fourth Proportional to 10,605.57, 15,884.13 and 5,062.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.57 : 15,884.13 = 5,062.82 : x
2. Step 2: Convert to fraction form
   10,605.57/15,884.13 = 5,062.82/x
3. Step 3: Cross multiply
   10,605.57x = 15,884.13 × 5,062.82
4. Step 4: Simplify right side
   10,605.57x = 80,418,491.05
5. Step 5: Solve for x
   x = 80,418,491.05/10,605.57
6. Step 6: Final answer
   x = 7,582.67