Finding the Fourth Proportional to 10,082.61, 13,913.88 and 5,606.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.61 : 13,913.88 = 5,606.25 : x
2. Step 2: Convert to fraction form
   10,082.61/13,913.88 = 5,606.25/x
3. Step 3: Cross multiply
   10,082.61x = 13,913.88 × 5,606.25
4. Step 4: Simplify right side
   10,082.61x = 78,004,616.55
5. Step 5: Solve for x
   x = 78,004,616.55/10,082.61
6. Step 6: Final answer
   x = 7,736.55