Finding the Fourth Proportional to 9,541.81, 13,167.31 and 5,767.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.81 : 13,167.31 = 5,767.19 : x
2. Step 2: Convert to fraction form
   9,541.81/13,167.31 = 5,767.19/x
3. Step 3: Cross multiply
   9,541.81x = 13,167.31 × 5,767.19
4. Step 4: Simplify right side
   9,541.81x = 75,938,378.56
5. Step 5: Solve for x
   x = 75,938,378.56/9,541.81
6. Step 6: Final answer
   x = 7,958.49