Finding the Fourth Proportional to 2,784.78, 3,834.23 and 2,364.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.78 : 3,834.23 = 2,364.30 : x
2. Step 2: Convert to fraction form
   2,784.78/3,834.23 = 2,364.30/x
3. Step 3: Cross multiply
   2,784.78x = 3,834.23 × 2,364.30
4. Step 4: Simplify right side
   2,784.78x = 9,065,269.99
5. Step 5: Solve for x
   x = 9,065,269.99/2,784.78
6. Step 6: Final answer
   x = 3,255.29