Finding the Fourth Proportional to 9,380.81, 12,945.83 and 5,189.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.81 : 12,945.83 = 5,189.06 : x
2. Step 2: Convert to fraction form
   9,380.81/12,945.83 = 5,189.06/x
3. Step 3: Cross multiply
   9,380.81x = 12,945.83 × 5,189.06
4. Step 4: Simplify right side
   9,380.81x = 67,176,695.04
5. Step 5: Solve for x
   x = 67,176,695.04/9,380.81
6. Step 6: Final answer
   x = 7,161.07