Finding the Fourth Proportional to 2,785.14, 4,194.24 and 2,424.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.14 : 4,194.24 = 2,424.30 : x
2. Step 2: Convert to fraction form
   2,785.14/4,194.24 = 2,424.30/x
3. Step 3: Cross multiply
   2,785.14x = 4,194.24 × 2,424.30
4. Step 4: Simplify right side
   2,785.14x = 10,168,096.03
5. Step 5: Solve for x
   x = 10,168,096.03/2,785.14
6. Step 6: Final answer
   x = 3,650.84