Finding the Fourth Proportional to 1,919, 2,877.24 and 1,097.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,919 : 2,877.24 = 1,097.72 : x
2. Step 2: Convert to fraction form
   1,919/2,877.24 = 1,097.72/x
3. Step 3: Cross multiply
   1,919x = 2,877.24 × 1,097.72
4. Step 4: Simplify right side
   1,919x = 3,158,403.89
5. Step 5: Solve for x
   x = 3,158,403.89/1,919
6. Step 6: Final answer
   x = 1,645.86