Finding the Fourth Proportional to 14,187.78, 19,578.96 and 7,814.22

Step by Step Solution

1. Step 1: Write the proportion equation
   14,187.78 : 19,578.96 = 7,814.22 : x
2. Step 2: Convert to fraction form
   14,187.78/19,578.96 = 7,814.22/x
3. Step 3: Cross multiply
   14,187.78x = 19,578.96 × 7,814.22
4. Step 4: Simplify right side
   14,187.78x = 152,994,300.81
5. Step 5: Solve for x
   x = 152,994,300.81/14,187.78
6. Step 6: Final answer
   x = 10,783.53