Finding the Fourth Proportional to 9,131.67, 12,589.16 and 5,772.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,131.67 : 12,589.16 = 5,772.80 : x
2. Step 2: Convert to fraction form
   9,131.67/12,589.16 = 5,772.80/x
3. Step 3: Cross multiply
   9,131.67x = 12,589.16 × 5,772.80
4. Step 4: Simplify right side
   9,131.67x = 72,674,705.46
5. Step 5: Solve for x
   x = 72,674,705.46/9,131.67
6. Step 6: Final answer
   x = 7,958.53