Finding the Fourth Proportional to 14,401.50, 19,874.07 and 7,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,401.50 : 19,874.07 = 7,777.50 : x
2. Step 2: Convert to fraction form
   14,401.50/19,874.07 = 7,777.50/x
3. Step 3: Cross multiply
   14,401.50x = 19,874.07 × 7,777.50
4. Step 4: Simplify right side
   14,401.50x = 154,570,579.43
5. Step 5: Solve for x
   x = 154,570,579.43/14,401.50
6. Step 6: Final answer
   x = 10,732.95