Finding the Fourth Proportional to 3,834.32, 5,289.27 and 2,509.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.32 : 5,289.27 = 2,509.34 : x
2. Step 2: Convert to fraction form
   3,834.32/5,289.27 = 2,509.34/x
3. Step 3: Cross multiply
   3,834.32x = 5,289.27 × 2,509.34
4. Step 4: Simplify right side
   3,834.32x = 13,272,576.78
5. Step 5: Solve for x
   x = 13,272,576.78/3,834.32
6. Step 6: Final answer
   x = 3,461.52