Finding the Fourth Proportional to 3,978.99, 5,966.55 and 1,205.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.99 : 5,966.55 = 1,205.16 : x
2. Step 2: Convert to fraction form
   3,978.99/5,966.55 = 1,205.16/x
3. Step 3: Cross multiply
   3,978.99x = 5,966.55 × 1,205.16
4. Step 4: Simplify right side
   3,978.99x = 7,190,647.40
5. Step 5: Solve for x
   x = 7,190,647.40/3,978.99
6. Step 6: Final answer
   x = 1,807.15