Finding the Fourth Proportional to 6,976.56, 10,469.16 and 5,123.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,976.56 : 10,469.16 = 5,123.10 : x
2. Step 2: Convert to fraction form
   6,976.56/10,469.16 = 5,123.10/x
3. Step 3: Cross multiply
   6,976.56x = 10,469.16 × 5,123.10
4. Step 4: Simplify right side
   6,976.56x = 53,634,553.60
5. Step 5: Solve for x
   x = 53,634,553.60/6,976.56
6. Step 6: Final answer
   x = 7,687.82