Finding the Fourth Proportional to 13,871.72, 19,142.88 and 7,584.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,871.72 : 19,142.88 = 7,584.09 : x
2. Step 2: Convert to fraction form
   13,871.72/19,142.88 = 7,584.09/x
3. Step 3: Cross multiply
   13,871.72x = 19,142.88 × 7,584.09
4. Step 4: Simplify right side
   13,871.72x = 145,181,324.78
5. Step 5: Solve for x
   x = 145,181,324.78/13,871.72
6. Step 6: Final answer
   x = 10,466.00