Finding the Fourth Proportional to 13,872.67, 19,144.37 and 7,585.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872.67 : 19,144.37 = 7,585.05 : x
2. Step 2: Convert to fraction form
   13,872.67/19,144.37 = 7,585.05/x
3. Step 3: Cross multiply
   13,872.67x = 19,144.37 × 7,585.05
4. Step 4: Simplify right side
   13,872.67x = 145,210,870.02
5. Step 5: Solve for x
   x = 145,210,870.02/13,872.67
6. Step 6: Final answer
   x = 10,467.41