Finding the Fourth Proportional to 3,438.15, 5,152.59 and 2,509.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,438.15 : 5,152.59 = 2,509.35 : x
2. Step 2: Convert to fraction form
   3,438.15/5,152.59 = 2,509.35/x
3. Step 3: Cross multiply
   3,438.15x = 5,152.59 × 2,509.35
4. Step 4: Simplify right side
   3,438.15x = 12,929,651.72
5. Step 5: Solve for x
   x = 12,929,651.72/3,438.15
6. Step 6: Final answer
   x = 3,760.64