Finding the Fourth Proportional to 13,871.82, 19,142.55 and 7,584.21

Step by Step Solution

1. Step 1: Write the proportion equation
   13,871.82 : 19,142.55 = 7,584.21 : x
2. Step 2: Convert to fraction form
   13,871.82/19,142.55 = 7,584.21/x
3. Step 3: Cross multiply
   13,871.82x = 19,142.55 × 7,584.21
4. Step 4: Simplify right side
   13,871.82x = 145,181,119.14
5. Step 5: Solve for x
   x = 145,181,119.14/13,871.82
6. Step 6: Final answer
   x = 10,465.90