Finding the Fourth Proportional to 13,873, 19,144.74 and 7,585.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873 : 19,144.74 = 7,585.42 : x
2. Step 2: Convert to fraction form
   13,873/19,144.74 = 7,585.42/x
3. Step 3: Cross multiply
   13,873x = 19,144.74 × 7,585.42
4. Step 4: Simplify right side
   13,873x = 145,220,893.69
5. Step 5: Solve for x
   x = 145,220,893.69/13,873
6. Step 6: Final answer
   x = 10,467.88