Finding the Fourth Proportional to 13,878.16, 19,151.88 and 7,828.48

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878.16 : 19,151.88 = 7,828.48 : x
2. Step 2: Convert to fraction form
   13,878.16/19,151.88 = 7,828.48/x
3. Step 3: Cross multiply
   13,878.16x = 19,151.88 × 7,828.48
4. Step 4: Simplify right side
   13,878.16x = 149,930,109.54
5. Step 5: Solve for x
   x = 149,930,109.54/13,878.16
6. Step 6: Final answer
   x = 10,803.31