Finding the Fourth Proportional to 2,565.46, 3,843.60 and 2,196.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.46 : 3,843.60 = 2,196.64 : x
2. Step 2: Convert to fraction form
   2,565.46/3,843.60 = 2,196.64/x
3. Step 3: Cross multiply
   2,565.46x = 3,843.60 × 2,196.64
4. Step 4: Simplify right side
   2,565.46x = 8,443,005.50
5. Step 5: Solve for x
   x = 8,443,005.50/2,565.46
6. Step 6: Final answer
   x = 3,291.03