Finding the Fourth Proportional to 10,082.70, 13,912.86 and 5,605.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.70 : 13,912.86 = 5,605.88 : x
2. Step 2: Convert to fraction form
   10,082.70/13,912.86 = 5,605.88/x
3. Step 3: Cross multiply
   10,082.70x = 13,912.86 × 5,605.88
4. Step 4: Simplify right side
   10,082.70x = 77,993,827.25
5. Step 5: Solve for x
   x = 77,993,827.25/10,082.70
6. Step 6: Final answer
   x = 7,735.41