Finding the Fourth Proportional to 7,769.10, 10,711.35 and 5,647.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.10 : 10,711.35 = 5,647.71 : x
2. Step 2: Convert to fraction form
   7,769.10/10,711.35 = 5,647.71/x
3. Step 3: Cross multiply
   7,769.10x = 10,711.35 × 5,647.71
4. Step 4: Simplify right side
   7,769.10x = 60,494,598.51
5. Step 5: Solve for x
   x = 60,494,598.51/7,769.10
6. Step 6: Final answer
   x = 7,786.56