Finding the Fourth Proportional to 10,082.63, 13,913.23 and 5,606.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.63 : 13,913.23 = 5,606.10 : x
2. Step 2: Convert to fraction form
   10,082.63/13,913.23 = 5,606.10/x
3. Step 3: Cross multiply
   10,082.63x = 13,913.23 × 5,606.10
4. Step 4: Simplify right side
   10,082.63x = 77,998,944.69
5. Step 5: Solve for x
   x = 77,998,944.69/10,082.63
6. Step 6: Final answer
   x = 7,735.98