Finding the Fourth Proportional to 13,825, 19,078.50 and 7,537.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825 : 19,078.50 = 7,537.42 : x
2. Step 2: Convert to fraction form
   13,825/19,078.50 = 7,537.42/x
3. Step 3: Cross multiply
   13,825x = 19,078.50 × 7,537.42
4. Step 4: Simplify right side
   13,825x = 143,802,667.47
5. Step 5: Solve for x
   x = 143,802,667.47/13,825
6. Step 6: Final answer
   x = 10,401.64