Finding the Fourth Proportional to 13,854.15, 19,118.70 and 7,566.53

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854.15 : 19,118.70 = 7,566.53 : x
2. Step 2: Convert to fraction form
   13,854.15/19,118.70 = 7,566.53/x
3. Step 3: Cross multiply
   13,854.15x = 19,118.70 × 7,566.53
4. Step 4: Simplify right side
   13,854.15x = 144,662,121.52
5. Step 5: Solve for x
   x = 144,662,121.52/13,854.15
6. Step 6: Final answer
   x = 10,441.79