Finding the Fourth Proportional to 3,868.10, 5,768.17 and 3,833

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.10 : 5,768.17 = 3,833 : x
2. Step 2: Convert to fraction form
   3,868.10/5,768.17 = 3,833/x
3. Step 3: Cross multiply
   3,868.10x = 5,768.17 × 3,833
4. Step 4: Simplify right side
   3,868.10x = 22,109,376.45
5. Step 5: Solve for x
   x = 22,109,376.45/3,868.10
6. Step 6: Final answer
   x = 5,715.82