Finding the Fourth Proportional to 9,380.78, 12,944.37 and 5,189.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.78 : 12,944.37 = 5,189.06 : x
2. Step 2: Convert to fraction form
   9,380.78/12,944.37 = 5,189.06/x
3. Step 3: Cross multiply
   9,380.78x = 12,944.37 × 5,189.06
4. Step 4: Simplify right side
   9,380.78x = 67,169,112.59
5. Step 5: Solve for x
   x = 67,169,112.59/9,380.78
6. Step 6: Final answer
   x = 7,160.29