Finding the Fourth Proportional to 2,009.69, 3,015.96 and 914.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.69 : 3,015.96 = 914.20 : x
2. Step 2: Convert to fraction form
   2,009.69/3,015.96 = 914.20/x
3. Step 3: Cross multiply
   2,009.69x = 3,015.96 × 914.20
4. Step 4: Simplify right side
   2,009.69x = 2,757,175.55
5. Step 5: Solve for x
   x = 2,757,175.55/2,009.69
6. Step 6: Final answer
   x = 1,371.94