Finding the Fourth Proportional to 13,874.88, 19,162.56 and 9,419.52

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874.88 : 19,162.56 = 9,419.52 : x
2. Step 2: Convert to fraction form
   13,874.88/19,162.56 = 9,419.52/x
3. Step 3: Cross multiply
   13,874.88x = 19,162.56 × 9,419.52
4. Step 4: Simplify right side
   13,874.88x = 180,502,117.17
5. Step 5: Solve for x
   x = 180,502,117.17/13,874.88
6. Step 6: Final answer
   x = 13,009.27