Finding the Fourth Proportional to 5,177.98, 7,769.76 and 4,806.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,177.98 : 7,769.76 = 4,806.10 : x
2. Step 2: Convert to fraction form
   5,177.98/7,769.76 = 4,806.10/x
3. Step 3: Cross multiply
   5,177.98x = 7,769.76 × 4,806.10
4. Step 4: Simplify right side
   5,177.98x = 37,342,243.54
5. Step 5: Solve for x
   x = 37,342,243.54/5,177.98
6. Step 6: Final answer
   x = 7,211.74