Finding the Fourth Proportional to 2,196.29, 3,289.75 and 1,778.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.29 : 3,289.75 = 1,778.02 : x
2. Step 2: Convert to fraction form
   2,196.29/3,289.75 = 1,778.02/x
3. Step 3: Cross multiply
   2,196.29x = 3,289.75 × 1,778.02
4. Step 4: Simplify right side
   2,196.29x = 5,849,241.30
5. Step 5: Solve for x
   x = 5,849,241.30/2,196.29
6. Step 6: Final answer
   x = 2,663.24