Finding the Fourth Proportional to 7,819.56, 10,778.94 and 5,577.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,819.56 : 10,778.94 = 5,577.48 : x
2. Step 2: Convert to fraction form
   7,819.56/10,778.94 = 5,577.48/x
3. Step 3: Cross multiply
   7,819.56x = 10,778.94 × 5,577.48
4. Step 4: Simplify right side
   7,819.56x = 60,119,322.27
5. Step 5: Solve for x
   x = 60,119,322.27/7,819.56
6. Step 6: Final answer
   x = 7,688.33