Finding the Fourth Proportional to 2,649.92, 3,975.12 and 919.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.92 : 3,975.12 = 919.28 : x
2. Step 2: Convert to fraction form
   2,649.92/3,975.12 = 919.28/x
3. Step 3: Cross multiply
   2,649.92x = 3,975.12 × 919.28
4. Step 4: Simplify right side
   2,649.92x = 3,654,248.31
5. Step 5: Solve for x
   x = 3,654,248.31/2,649.92
6. Step 6: Final answer
   x = 1,379.00