Finding the Fourth Proportional to 6,561.63, 9,849.17 and 5,116.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,561.63 : 9,849.17 = 5,116.59 : x
2. Step 2: Convert to fraction form
   6,561.63/9,849.17 = 5,116.59/x
3. Step 3: Cross multiply
   6,561.63x = 9,849.17 × 5,116.59
4. Step 4: Simplify right side
   6,561.63x = 50,394,139.15
5. Step 5: Solve for x
   x = 50,394,139.15/6,561.63
6. Step 6: Final answer
   x = 7,680.13