Finding the Fourth Proportional to 6,505.77, 8,969.49 and 4,147.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,505.77 : 8,969.49 = 4,147.05 : x
2. Step 2: Convert to fraction form
   6,505.77/8,969.49 = 4,147.05/x
3. Step 3: Cross multiply
   6,505.77x = 8,969.49 × 4,147.05
4. Step 4: Simplify right side
   6,505.77x = 37,196,923.50
5. Step 5: Solve for x
   x = 37,196,923.50/6,505.77
6. Step 6: Final answer
   x = 5,717.53