Finding the Fourth Proportional to 5,155.79, 7,745.49 and 3,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,155.79 : 7,745.49 = 3,678.75 : x
2. Step 2: Convert to fraction form
   5,155.79/7,745.49 = 3,678.75/x
3. Step 3: Cross multiply
   5,155.79x = 7,745.49 × 3,678.75
4. Step 4: Simplify right side
   5,155.79x = 28,493,721.34
5. Step 5: Solve for x
   x = 28,493,721.34/5,155.79
6. Step 6: Final answer
   x = 5,526.55