Finding the Fourth Proportional to 10,082.09, 13,911.71 and 5,605.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.09 : 13,911.71 = 5,605.83 : x
2. Step 2: Convert to fraction form
   10,082.09/13,911.71 = 5,605.83/x
3. Step 3: Cross multiply
   10,082.09x = 13,911.71 × 5,605.83
4. Step 4: Simplify right side
   10,082.09x = 77,986,653.24
5. Step 5: Solve for x
   x = 77,986,653.24/10,082.09
6. Step 6: Final answer
   x = 7,735.17