Finding the Fourth Proportional to 14,066.17, 19,410.78 and 7,778.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,066.17 : 19,410.78 = 7,778.14 : x
2. Step 2: Convert to fraction form
   14,066.17/19,410.78 = 7,778.14/x
3. Step 3: Cross multiply
   14,066.17x = 19,410.78 × 7,778.14
4. Step 4: Simplify right side
   14,066.17x = 150,979,764.35
5. Step 5: Solve for x
   x = 150,979,764.35/14,066.17
6. Step 6: Final answer
   x = 10,733.54