Finding the Fourth Proportional to 6,506.81, 9,773.43 and 5,744.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.81 : 9,773.43 = 5,744.09 : x
2. Step 2: Convert to fraction form
   6,506.81/9,773.43 = 5,744.09/x
3. Step 3: Cross multiply
   6,506.81x = 9,773.43 × 5,744.09
4. Step 4: Simplify right side
   6,506.81x = 56,139,464.42
5. Step 5: Solve for x
   x = 56,139,464.42/6,506.81
6. Step 6: Final answer
   x = 8,627.80