Finding the Fourth Proportional to 14,064.17, 19,408.47 and 7,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,064.17 : 19,408.47 = 7,776.50 : x
2. Step 2: Convert to fraction form
   14,064.17/19,408.47 = 7,776.50/x
3. Step 3: Cross multiply
   14,064.17x = 19,408.47 × 7,776.50
4. Step 4: Simplify right side
   14,064.17x = 150,929,966.96
5. Step 5: Solve for x
   x = 150,929,966.96/14,064.17
6. Step 6: Final answer
   x = 10,731.52