Finding the Fourth Proportional to 5,563.38, 7,678.71 and 3,675.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,563.38 : 7,678.71 = 3,675.30 : x
2. Step 2: Convert to fraction form
   5,563.38/7,678.71 = 3,675.30/x
3. Step 3: Cross multiply
   5,563.38x = 7,678.71 × 3,675.30
4. Step 4: Simplify right side
   5,563.38x = 28,221,562.86
5. Step 5: Solve for x
   x = 28,221,562.86/5,563.38
6. Step 6: Final answer
   x = 5,072.74