Finding the Fourth Proportional to 10,756, 16,134.61 and 3,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756 : 16,134.61 = 3,830.50 : x
2. Step 2: Convert to fraction form
   10,756/16,134.61 = 3,830.50/x
3. Step 3: Cross multiply
   10,756x = 16,134.61 × 3,830.50
4. Step 4: Simplify right side
   10,756x = 61,803,623.61
5. Step 5: Solve for x
   x = 61,803,623.61/10,756
6. Step 6: Final answer
   x = 5,745.97