Finding the Fourth Proportional to 9,411.38, 12,986.69 and 5,219.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.38 : 12,986.69 = 5,219.63 : x
2. Step 2: Convert to fraction form
   9,411.38/12,986.69 = 5,219.63/x
3. Step 3: Cross multiply
   9,411.38x = 12,986.69 × 5,219.63
4. Step 4: Simplify right side
   9,411.38x = 67,785,716.72
5. Step 5: Solve for x
   x = 67,785,716.72/9,411.38
6. Step 6: Final answer
   x = 7,202.53