Finding the Fourth Proportional to 2,002.77, 2,763.98 and 1,106.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.77 : 2,763.98 = 1,106.58 : x
2. Step 2: Convert to fraction form
   2,002.77/2,763.98 = 1,106.58/x
3. Step 3: Cross multiply
   2,002.77x = 2,763.98 × 1,106.58
4. Step 4: Simplify right side
   2,002.77x = 3,058,571.64
5. Step 5: Solve for x
   x = 3,058,571.64/2,002.77
6. Step 6: Final answer
   x = 1,527.17