Finding the Fourth Proportional to 7,878, 10,872.72 and 5,082.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878 : 10,872.72 = 5,082.96 : x
2. Step 2: Convert to fraction form
   7,878/10,872.72 = 5,082.96/x
3. Step 3: Cross multiply
   7,878x = 10,872.72 × 5,082.96
4. Step 4: Simplify right side
   7,878x = 55,265,600.85
5. Step 5: Solve for x
   x = 55,265,600.85/7,878
6. Step 6: Final answer
   x = 7,015.18