Finding the Fourth Proportional to 1,185.42, 1,634.67 and 1,020.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.42 : 1,634.67 = 1,020.18 : x
2. Step 2: Convert to fraction form
   1,185.42/1,634.67 = 1,020.18/x
3. Step 3: Cross multiply
   1,185.42x = 1,634.67 × 1,020.18
4. Step 4: Simplify right side
   1,185.42x = 1,667,657.64
5. Step 5: Solve for x
   x = 1,667,657.64/1,185.42
6. Step 6: Final answer
   x = 1,406.81