Finding the Fourth Proportional to 10,082.26, 13,913.76 and 5,606.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.26 : 13,913.76 = 5,606.20 : x
2. Step 2: Convert to fraction form
   10,082.26/13,913.76 = 5,606.20/x
3. Step 3: Cross multiply
   10,082.26x = 13,913.76 × 5,606.20
4. Step 4: Simplify right side
   10,082.26x = 78,003,321.31
5. Step 5: Solve for x
   x = 78,003,321.31/10,082.26
6. Step 6: Final answer
   x = 7,736.69