Finding the Fourth Proportional to 3,842.82, 5,756.94 and 2,279.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842.82 : 5,756.94 = 2,279.52 : x
2. Step 2: Convert to fraction form
   3,842.82/5,756.94 = 2,279.52/x
3. Step 3: Cross multiply
   3,842.82x = 5,756.94 × 2,279.52
4. Step 4: Simplify right side
   3,842.82x = 13,123,059.87
5. Step 5: Solve for x
   x = 13,123,059.87/3,842.82
6. Step 6: Final answer
   x = 3,414.96