Finding the Fourth Proportional to 3,675.78, 5,513.85 and 1,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675.78 : 5,513.85 = 1,078.50 : x
2. Step 2: Convert to fraction form
   3,675.78/5,513.85 = 1,078.50/x
3. Step 3: Cross multiply
   3,675.78x = 5,513.85 × 1,078.50
4. Step 4: Simplify right side
   3,675.78x = 5,946,687.23
5. Step 5: Solve for x
   x = 5,946,687.23/3,675.78
6. Step 6: Final answer
   x = 1,617.80