Finding the Fourth Proportional to 7,677.81, 10,581.49 and 5,776.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,677.81 : 10,581.49 = 5,776.48 : x
2. Step 2: Convert to fraction form
   7,677.81/10,581.49 = 5,776.48/x
3. Step 3: Cross multiply
   7,677.81x = 10,581.49 × 5,776.48
4. Step 4: Simplify right side
   7,677.81x = 61,123,765.36
5. Step 5: Solve for x
   x = 61,123,765.36/7,677.81
6. Step 6: Final answer
   x = 7,961.09