Finding the Fourth Proportional to 2,296.14, 3,442.41 and 1,200.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.14 : 3,442.41 = 1,200.30 : x
2. Step 2: Convert to fraction form
   2,296.14/3,442.41 = 1,200.30/x
3. Step 3: Cross multiply
   2,296.14x = 3,442.41 × 1,200.30
4. Step 4: Simplify right side
   2,296.14x = 4,131,924.72
5. Step 5: Solve for x
   x = 4,131,924.72/2,296.14
6. Step 6: Final answer
   x = 1,799.51