Finding the Fourth Proportional to 13,872.33, 19,143.89 and 7,584.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872.33 : 19,143.89 = 7,584.71 : x
2. Step 2: Convert to fraction form
   13,872.33/19,143.89 = 7,584.71/x
3. Step 3: Cross multiply
   13,872.33x = 19,143.89 × 7,584.71
4. Step 4: Simplify right side
   13,872.33x = 145,200,720.28
5. Step 5: Solve for x
   x = 145,200,720.28/13,872.33
6. Step 6: Final answer
   x = 10,466.93