Finding the Fourth Proportional to 3,833.45, 5,292.59 and 2,509.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,833.45 : 5,292.59 = 2,509.40 : x
2. Step 2: Convert to fraction form
   3,833.45/5,292.59 = 2,509.40/x
3. Step 3: Cross multiply
   3,833.45x = 5,292.59 × 2,509.40
4. Step 4: Simplify right side
   3,833.45x = 13,281,186.34
5. Step 5: Solve for x
   x = 13,281,186.34/3,833.45
6. Step 6: Final answer
   x = 3,464.55