Finding the Fourth Proportional to 10,082.07, 13,913.10 and 5,606.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.07 : 13,913.10 = 5,606.28 : x
2. Step 2: Convert to fraction form
   10,082.07/13,913.10 = 5,606.28/x
3. Step 3: Cross multiply
   10,082.07x = 13,913.10 × 5,606.28
4. Step 4: Simplify right side
   10,082.07x = 78,000,734.27
5. Step 5: Solve for x
   x = 78,000,734.27/10,082.07
6. Step 6: Final answer
   x = 7,736.58