Finding the Fourth Proportional to 2,089.80, 3,128.16 and 1,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.80 : 3,128.16 = 1,114.56 : x
2. Step 2: Convert to fraction form
   2,089.80/3,128.16 = 1,114.56/x
3. Step 3: Cross multiply
   2,089.80x = 3,128.16 × 1,114.56
4. Step 4: Simplify right side
   2,089.80x = 3,486,522.01
5. Step 5: Solve for x
   x = 3,486,522.01/2,089.80
6. Step 6: Final answer
   x = 1,668.35