Finding the Fourth Proportional to 2,653.62, 3,980.41 and 1,009.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.62 : 3,980.41 = 1,009.72 : x
2. Step 2: Convert to fraction form
   2,653.62/3,980.41 = 1,009.72/x
3. Step 3: Cross multiply
   2,653.62x = 3,980.41 × 1,009.72
4. Step 4: Simplify right side
   2,653.62x = 4,019,099.59
5. Step 5: Solve for x
   x = 4,019,099.59/2,653.62
6. Step 6: Final answer
   x = 1,514.57