Finding the Fourth Proportional to 2,196.30, 3,289.85 and 1,027.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.30 : 3,289.85 = 1,027.30 : x
2. Step 2: Convert to fraction form
   2,196.30/3,289.85 = 1,027.30/x
3. Step 3: Cross multiply
   2,196.30x = 3,289.85 × 1,027.30
4. Step 4: Simplify right side
   2,196.30x = 3,379,662.91
5. Step 5: Solve for x
   x = 3,379,662.91/2,196.30
6. Step 6: Final answer
   x = 1,538.80