Finding the Fourth Proportional to 6,300.12, 9,448.56 and 3,826.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300.12 : 9,448.56 = 3,826.40 : x
2. Step 2: Convert to fraction form
   6,300.12/9,448.56 = 3,826.40/x
3. Step 3: Cross multiply
   6,300.12x = 9,448.56 × 3,826.40
4. Step 4: Simplify right side
   6,300.12x = 36,153,969.98
5. Step 5: Solve for x
   x = 36,153,969.98/6,300.12
6. Step 6: Final answer
   x = 5,738.62