Finding the Fourth Proportional to 9,542.88, 13,166.01 and 5,767.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,542.88 : 13,166.01 = 5,767.20 : x
2. Step 2: Convert to fraction form
   9,542.88/13,166.01 = 5,767.20/x
3. Step 3: Cross multiply
   9,542.88x = 13,166.01 × 5,767.20
4. Step 4: Simplify right side
   9,542.88x = 75,931,012.87
5. Step 5: Solve for x
   x = 75,931,012.87/9,542.88
6. Step 6: Final answer
   x = 7,956.82