Finding the Fourth Proportional to 9,164.04, 12,651.42 and 5,764.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.04 : 12,651.42 = 5,764.68 : x
2. Step 2: Convert to fraction form
   9,164.04/12,651.42 = 5,764.68/x
3. Step 3: Cross multiply
   9,164.04x = 12,651.42 × 5,764.68
4. Step 4: Simplify right side
   9,164.04x = 72,931,387.85
5. Step 5: Solve for x
   x = 72,931,387.85/9,164.04
6. Step 6: Final answer
   x = 7,958.43