Finding the Fourth Proportional to 2,002.75, 2,763.80 and 1,106.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.75 : 2,763.80 = 1,106.49 : x
2. Step 2: Convert to fraction form
   2,002.75/2,763.80 = 1,106.49/x
3. Step 3: Cross multiply
   2,002.75x = 2,763.80 × 1,106.49
4. Step 4: Simplify right side
   2,002.75x = 3,058,117.06
5. Step 5: Solve for x
   x = 3,058,117.06/2,002.75
6. Step 6: Final answer
   x = 1,526.96