Finding the Fourth Proportional to 13,853.98, 19,118.82 and 7,566.40

Step by Step Solution

1. Step 1: Write the proportion equation
   13,853.98 : 19,118.82 = 7,566.40 : x
2. Step 2: Convert to fraction form
   13,853.98/19,118.82 = 7,566.40/x
3. Step 3: Cross multiply
   13,853.98x = 19,118.82 × 7,566.40
4. Step 4: Simplify right side
   13,853.98x = 144,660,639.65
5. Step 5: Solve for x
   x = 144,660,639.65/13,853.98
6. Step 6: Final answer
   x = 10,441.81