Finding the Fourth Proportional to 2,002.83, 2,763.86 and 1,106.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.83 : 2,763.86 = 1,106.64 : x
2. Step 2: Convert to fraction form
   2,002.83/2,763.86 = 1,106.64/x
3. Step 3: Cross multiply
   2,002.83x = 2,763.86 × 1,106.64
4. Step 4: Simplify right side
   2,002.83x = 3,058,592.50
5. Step 5: Solve for x
   x = 3,058,592.50/2,002.83
6. Step 6: Final answer
   x = 1,527.14