Finding the Fourth Proportional to 3,678.63, 5,519.72 and 2,291.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.63 : 5,519.72 = 2,291.60 : x
2. Step 2: Convert to fraction form
   3,678.63/5,519.72 = 2,291.60/x
3. Step 3: Cross multiply
   3,678.63x = 5,519.72 × 2,291.60
4. Step 4: Simplify right side
   3,678.63x = 12,648,951.30
5. Step 5: Solve for x
   x = 12,648,951.30/3,678.63
6. Step 6: Final answer
   x = 3,438.50