Finding the Fourth Proportional to 1,443.84, 2,165.16 and 519.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.84 : 2,165.16 = 519.10 : x
2. Step 2: Convert to fraction form
   1,443.84/2,165.16 = 519.10/x
3. Step 3: Cross multiply
   1,443.84x = 2,165.16 × 519.10
4. Step 4: Simplify right side
   1,443.84x = 1,123,934.56
5. Step 5: Solve for x
   x = 1,123,934.56/1,443.84
6. Step 6: Final answer
   x = 778.43