Finding the Fourth Proportional to 13,854.29, 19,114.18 and 7,884.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,854.29 : 19,114.18 = 7,884.47 : x
2. Step 2: Convert to fraction form
   13,854.29/19,114.18 = 7,884.47/x
3. Step 3: Cross multiply
   13,854.29x = 19,114.18 × 7,884.47
4. Step 4: Simplify right side
   13,854.29x = 150,705,178.78
5. Step 5: Solve for x
   x = 150,705,178.78/13,854.29
6. Step 6: Final answer
   x = 10,877.87