Finding the Fourth Proportional to 3,834.78, 5,759.46 and 2,384.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.78 : 5,759.46 = 2,384.06 : x
2. Step 2: Convert to fraction form
   3,834.78/5,759.46 = 2,384.06/x
3. Step 3: Cross multiply
   3,834.78x = 5,759.46 × 2,384.06
4. Step 4: Simplify right side
   3,834.78x = 13,730,898.21
5. Step 5: Solve for x
   x = 13,730,898.21/3,834.78
6. Step 6: Final answer
   x = 3,580.62