Finding the Fourth Proportional to 5,783.09, 7,978.69 and 3,765.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.09 : 7,978.69 = 3,765.58 : x
2. Step 2: Convert to fraction form
   5,783.09/7,978.69 = 3,765.58/x
3. Step 3: Cross multiply
   5,783.09x = 7,978.69 × 3,765.58
4. Step 4: Simplify right side
   5,783.09x = 30,044,395.49
5. Step 5: Solve for x
   x = 30,044,395.49/5,783.09
6. Step 6: Final answer
   x = 5,195.21