Finding the Fourth Proportional to 9,380.94, 12,945.54 and 5,189.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.94 : 12,945.54 = 5,189.20 : x
2. Step 2: Convert to fraction form
   9,380.94/12,945.54 = 5,189.20/x
3. Step 3: Cross multiply
   9,380.94x = 12,945.54 × 5,189.20
4. Step 4: Simplify right side
   9,380.94x = 67,176,996.17
5. Step 5: Solve for x
   x = 67,176,996.17/9,380.94
6. Step 6: Final answer
   x = 7,161.01