Finding the Fourth Proportional to 3,984.30, 5,978.06 and 1,646.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,984.30 : 5,978.06 = 1,646.22 : x
2. Step 2: Convert to fraction form
   3,984.30/5,978.06 = 1,646.22/x
3. Step 3: Cross multiply
   3,984.30x = 5,978.06 × 1,646.22
4. Step 4: Simplify right side
   3,984.30x = 9,841,201.93
5. Step 5: Solve for x
   x = 9,841,201.93/3,984.30
6. Step 6: Final answer
   x = 2,470.00