Finding the Fourth Proportional to 4,196.96, 5,789.74 and 2,780.28

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.96 : 5,789.74 = 2,780.28 : x
2. Step 2: Convert to fraction form
   4,196.96/5,789.74 = 2,780.28/x
3. Step 3: Cross multiply
   4,196.96x = 5,789.74 × 2,780.28
4. Step 4: Simplify right side
   4,196.96x = 16,097,098.33
5. Step 5: Solve for x
   x = 16,097,098.33/4,196.96
6. Step 6: Final answer
   x = 3,835.42