Finding the Fourth Proportional to 4,965.30, 7,438.59 and 4,148.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,965.30 : 7,438.59 = 4,148.82 : x
2. Step 2: Convert to fraction form
   4,965.30/7,438.59 = 4,148.82/x
3. Step 3: Cross multiply
   4,965.30x = 7,438.59 × 4,148.82
4. Step 4: Simplify right side
   4,965.30x = 30,861,370.96
5. Step 5: Solve for x
   x = 30,861,370.96/4,965.30
6. Step 6: Final answer
   x = 6,215.41