Finding the Fourth Proportional to 2,653.09, 3,978.69 and 1,009.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.09 : 3,978.69 = 1,009.20 : x
2. Step 2: Convert to fraction form
   2,653.09/3,978.69 = 1,009.20/x
3. Step 3: Cross multiply
   2,653.09x = 3,978.69 × 1,009.20
4. Step 4: Simplify right side
   2,653.09x = 4,015,293.95
5. Step 5: Solve for x
   x = 4,015,293.95/2,653.09
6. Step 6: Final answer
   x = 1,513.44