Finding the Fourth Proportional to 2,002.34, 2,763.20 and 1,106.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.34 : 2,763.20 = 1,106.13 : x
2. Step 2: Convert to fraction form
   2,002.34/2,763.20 = 1,106.13/x
3. Step 3: Cross multiply
   2,002.34x = 2,763.20 × 1,106.13
4. Step 4: Simplify right side
   2,002.34x = 3,056,452.89
5. Step 5: Solve for x
   x = 3,056,452.89/2,002.34
6. Step 6: Final answer
   x = 1,526.44