Finding the Fourth Proportional to 5,947.40, 8,203.69 and 3,825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947.40 : 8,203.69 = 3,825.69 : x
2. Step 2: Convert to fraction form
   5,947.40/8,203.69 = 3,825.69/x
3. Step 3: Cross multiply
   5,947.40x = 8,203.69 × 3,825.69
4. Step 4: Simplify right side
   5,947.40x = 31,384,774.80
5. Step 5: Solve for x
   x = 31,384,774.80/5,947.40
6. Step 6: Final answer
   x = 5,277.06