Finding the Fourth Proportional to 6,826.64, 10,223.55 and 3,896.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.64 : 10,223.55 = 3,896.06 : x
2. Step 2: Convert to fraction form
   6,826.64/10,223.55 = 3,896.06/x
3. Step 3: Cross multiply
   6,826.64x = 10,223.55 × 3,896.06
4. Step 4: Simplify right side
   6,826.64x = 39,831,513.10
5. Step 5: Solve for x
   x = 39,831,513.10/6,826.64
6. Step 6: Final answer
   x = 5,834.72