Finding the Fourth Proportional to 13,854.05, 19,118.64 and 7,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854.05 : 19,118.64 = 7,566.42 : x
2. Step 2: Convert to fraction form
   13,854.05/19,118.64 = 7,566.42/x
3. Step 3: Cross multiply
   13,854.05x = 19,118.64 × 7,566.42
4. Step 4: Simplify right side
   13,854.05x = 144,659,660.07
5. Step 5: Solve for x
   x = 144,659,660.07/13,854.05
6. Step 6: Final answer
   x = 10,441.69