Finding the Fourth Proportional to 9,380, 12,944.81 and 5,188.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380 : 12,944.81 = 5,188.25 : x
2. Step 2: Convert to fraction form
   9,380/12,944.81 = 5,188.25/x
3. Step 3: Cross multiply
   9,380x = 12,944.81 × 5,188.25
4. Step 4: Simplify right side
   9,380x = 67,160,910.48
5. Step 5: Solve for x
   x = 67,160,910.48/9,380
6. Step 6: Final answer
   x = 7,160.01