Finding the Fourth Proportional to 5,640.30, 7,783.56 and 3,544.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640.30 : 7,783.56 = 3,544.02 : x
2. Step 2: Convert to fraction form
   5,640.30/7,783.56 = 3,544.02/x
3. Step 3: Cross multiply
   5,640.30x = 7,783.56 × 3,544.02
4. Step 4: Simplify right side
   5,640.30x = 27,585,092.31
5. Step 5: Solve for x
   x = 27,585,092.31/5,640.30
6. Step 6: Final answer
   x = 4,890.71