Finding the Fourth Proportional to 1,019.88, 1,406.16 and 843.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.88 : 1,406.16 = 843.57 : x
2. Step 2: Convert to fraction form
   1,019.88/1,406.16 = 843.57/x
3. Step 3: Cross multiply
   1,019.88x = 1,406.16 × 843.57
4. Step 4: Simplify right side
   1,019.88x = 1,186,194.39
5. Step 5: Solve for x
   x = 1,186,194.39/1,019.88
6. Step 6: Final answer
   x = 1,163.07