Finding the Fourth Proportional to 10,082.50, 13,912.58 and 5,605.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.50 : 13,912.58 = 5,605.96 : x
2. Step 2: Convert to fraction form
   10,082.50/13,912.58 = 5,605.96/x
3. Step 3: Cross multiply
   10,082.50x = 13,912.58 × 5,605.96
4. Step 4: Simplify right side
   10,082.50x = 77,993,366.98
5. Step 5: Solve for x
   x = 77,993,366.98/10,082.50
6. Step 6: Final answer
   x = 7,735.52