Finding the Fourth Proportional to 6,834.10, 10,256.58 and 3,138.04

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834.10 : 10,256.58 = 3,138.04 : x
2. Step 2: Convert to fraction form
   6,834.10/10,256.58 = 3,138.04/x
3. Step 3: Cross multiply
   6,834.10x = 10,256.58 × 3,138.04
4. Step 4: Simplify right side
   6,834.10x = 32,185,558.30
5. Step 5: Solve for x
   x = 32,185,558.30/6,834.10
6. Step 6: Final answer
   x = 4,709.55