Finding the Fourth Proportional to 13,864.84, 19,133.43 and 7,577.21

Step by Step Solution

1. Step 1: Write the proportion equation
   13,864.84 : 19,133.43 = 7,577.21 : x
2. Step 2: Convert to fraction form
   13,864.84/19,133.43 = 7,577.21/x
3. Step 3: Cross multiply
   13,864.84x = 19,133.43 × 7,577.21
4. Step 4: Simplify right side
   13,864.84x = 144,978,017.13
5. Step 5: Solve for x
   x = 144,978,017.13/13,864.84
6. Step 6: Final answer
   x = 10,456.52