Finding the Fourth Proportional to 2,038.68, 2,819.31 and 2,001.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.68 : 2,819.31 = 2,001.78 : x
2. Step 2: Convert to fraction form
   2,038.68/2,819.31 = 2,001.78/x
3. Step 3: Cross multiply
   2,038.68x = 2,819.31 × 2,001.78
4. Step 4: Simplify right side
   2,038.68x = 5,643,638.37
5. Step 5: Solve for x
   x = 5,643,638.37/2,038.68
6. Step 6: Final answer
   x = 2,768.28