Finding the Fourth Proportional to 14,065.84, 19,408.57 and 7,777

Step by Step Solution

1. Step 1: Write the proportion equation
   14,065.84 : 19,408.57 = 7,777 : x
2. Step 2: Convert to fraction form
   14,065.84/19,408.57 = 7,777/x
3. Step 3: Cross multiply
   14,065.84x = 19,408.57 × 7,777
4. Step 4: Simplify right side
   14,065.84x = 150,940,448.89
5. Step 5: Solve for x
   x = 150,940,448.89/14,065.84
6. Step 6: Final answer
   x = 10,730.99