Finding the Fourth Proportional to 2,294.24, 3,442.42 and 1,640.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,294.24 : 3,442.42 = 1,640.34 : x
2. Step 2: Convert to fraction form
   2,294.24/3,442.42 = 1,640.34/x
3. Step 3: Cross multiply
   2,294.24x = 3,442.42 × 1,640.34
4. Step 4: Simplify right side
   2,294.24x = 5,646,739.22
5. Step 5: Solve for x
   x = 5,646,739.22/2,294.24
6. Step 6: Final answer
   x = 2,461.27