Finding the Fourth Proportional to 13,864.34, 19,132.89 and 7,577.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,864.34 : 19,132.89 = 7,577.30 : x
2. Step 2: Convert to fraction form
   13,864.34/19,132.89 = 7,577.30/x
3. Step 3: Cross multiply
   13,864.34x = 19,132.89 × 7,577.30
4. Step 4: Simplify right side
   13,864.34x = 144,975,647.40
5. Step 5: Solve for x
   x = 144,975,647.40/13,864.34
6. Step 6: Final answer
   x = 10,456.73