Finding the Fourth Proportional to 3,829.57, 5,287.34 and 2,505.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.57 : 5,287.34 = 2,505.62 : x
2. Step 2: Convert to fraction form
   3,829.57/5,287.34 = 2,505.62/x
3. Step 3: Cross multiply
   3,829.57x = 5,287.34 × 2,505.62
4. Step 4: Simplify right side
   3,829.57x = 13,248,064.85
5. Step 5: Solve for x
   x = 13,248,064.85/3,829.57
6. Step 6: Final answer
   x = 3,459.41