Finding the Fourth Proportional to 2,109.40, 2,911.68 and 1,448.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.40 : 2,911.68 = 1,448.16 : x
2. Step 2: Convert to fraction form
   2,109.40/2,911.68 = 1,448.16/x
3. Step 3: Cross multiply
   2,109.40x = 2,911.68 × 1,448.16
4. Step 4: Simplify right side
   2,109.40x = 4,216,578.51
5. Step 5: Solve for x
   x = 4,216,578.51/2,109.40
6. Step 6: Final answer
   x = 1,998.95