Finding the Fourth Proportional to 10,082.14, 13,912.56 and 5,605.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.14 : 13,912.56 = 5,605.62 : x
2. Step 2: Convert to fraction form
   10,082.14/13,912.56 = 5,605.62/x
3. Step 3: Cross multiply
   10,082.14x = 13,912.56 × 5,605.62
4. Step 4: Simplify right side
   10,082.14x = 77,988,524.59
5. Step 5: Solve for x
   x = 77,988,524.59/10,082.14
6. Step 6: Final answer
   x = 7,735.31