Finding the Fourth Proportional to 10,758.96, 16,141.68 and 3,834

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.96 : 16,141.68 = 3,834 : x
2. Step 2: Convert to fraction form
   10,758.96/16,141.68 = 3,834/x
3. Step 3: Cross multiply
   10,758.96x = 16,141.68 × 3,834
4. Step 4: Simplify right side
   10,758.96x = 61,887,201.12
5. Step 5: Solve for x
   x = 61,887,201.12/10,758.96
6. Step 6: Final answer
   x = 5,752.15