Finding the Fourth Proportional to 10,082.97, 13,915.38 and 5,607.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.97 : 13,915.38 = 5,607.60 : x
2. Step 2: Convert to fraction form
   10,082.97/13,915.38 = 5,607.60/x
3. Step 3: Cross multiply
   10,082.97x = 13,915.38 × 5,607.60
4. Step 4: Simplify right side
   10,082.97x = 78,031,884.89
5. Step 5: Solve for x
   x = 78,031,884.89/10,082.97
6. Step 6: Final answer
   x = 7,738.98