Finding the Fourth Proportional to 13,878.66, 19,152.57 and 7,828.98

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878.66 : 19,152.57 = 7,828.98 : x
2. Step 2: Convert to fraction form
   13,878.66/19,152.57 = 7,828.98/x
3. Step 3: Cross multiply
   13,878.66x = 19,152.57 × 7,828.98
4. Step 4: Simplify right side
   13,878.66x = 149,945,087.48
5. Step 5: Solve for x
   x = 149,945,087.48/13,878.66
6. Step 6: Final answer
   x = 10,804.00