Finding the Fourth Proportional to 1,872.49, 2,806.54 and 1,408.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872.49 : 2,806.54 = 1,408.78 : x
2. Step 2: Convert to fraction form
   1,872.49/2,806.54 = 1,408.78/x
3. Step 3: Cross multiply
   1,872.49x = 2,806.54 × 1,408.78
4. Step 4: Simplify right side
   1,872.49x = 3,953,789.55
5. Step 5: Solve for x
   x = 3,953,789.55/1,872.49
6. Step 6: Final answer
   x = 2,111.52