Finding the Fourth Proportional to 1,110.42, 1,665 and 1,020.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,110.42 : 1,665 = 1,020.09 : x
2. Step 2: Convert to fraction form
   1,110.42/1,665 = 1,020.09/x
3. Step 3: Cross multiply
   1,110.42x = 1,665 × 1,020.09
4. Step 4: Simplify right side
   1,110.42x = 1,698,449.85
5. Step 5: Solve for x
   x = 1,698,449.85/1,110.42
6. Step 6: Final answer
   x = 1,529.56