Finding the Fourth Proportional to 13,872.84, 19,144.52 and 7,585.21

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872.84 : 19,144.52 = 7,585.21 : x
2. Step 2: Convert to fraction form
   13,872.84/19,144.52 = 7,585.21/x
3. Step 3: Cross multiply
   13,872.84x = 19,144.52 × 7,585.21
4. Step 4: Simplify right side
   13,872.84x = 145,215,204.55
5. Step 5: Solve for x
   x = 145,215,204.55/13,872.84
6. Step 6: Final answer
   x = 10,467.59