Finding the Fourth Proportional to 9,380.24, 12,944.92 and 5,188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.24 : 12,944.92 = 5,188.56 : x
2. Step 2: Convert to fraction form
   9,380.24/12,944.92 = 5,188.56/x
3. Step 3: Cross multiply
   9,380.24x = 12,944.92 × 5,188.56
4. Step 4: Simplify right side
   9,380.24x = 67,165,494.12
5. Step 5: Solve for x
   x = 67,165,494.12/9,380.24
6. Step 6: Final answer
   x = 7,160.32