Finding the Fourth Proportional to 3,678.38, 5,077.62 and 2,352.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.38 : 5,077.62 = 2,352.82 : x
2. Step 2: Convert to fraction form
   3,678.38/5,077.62 = 2,352.82/x
3. Step 3: Cross multiply
   3,678.38x = 5,077.62 × 2,352.82
4. Step 4: Simplify right side
   3,678.38x = 11,946,725.89
5. Step 5: Solve for x
   x = 11,946,725.89/3,678.38
6. Step 6: Final answer
   x = 3,247.82