Finding the Fourth Proportional to 3,978.54, 5,965.86 and 1,204.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.54 : 5,965.86 = 1,204.68 : x
2. Step 2: Convert to fraction form
   3,978.54/5,965.86 = 1,204.68/x
3. Step 3: Cross multiply
   3,978.54x = 5,965.86 × 1,204.68
4. Step 4: Simplify right side
   3,978.54x = 7,186,952.22
5. Step 5: Solve for x
   x = 7,186,952.22/3,978.54
6. Step 6: Final answer
   x = 1,806.43