Finding the Fourth Proportional to 14,116, 19,481.16 and 7,828.96

Step by Step Solution

1. Step 1: Write the proportion equation
   14,116 : 19,481.16 = 7,828.96 : x
2. Step 2: Convert to fraction form
   14,116/19,481.16 = 7,828.96/x
3. Step 3: Cross multiply
   14,116x = 19,481.16 × 7,828.96
4. Step 4: Simplify right side
   14,116x = 152,517,222.39
5. Step 5: Solve for x
   x = 152,517,222.39/14,116
6. Step 6: Final answer
   x = 10,804.56