Finding the Fourth Proportional to 1,020.14, 1,406.72 and 886.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.14 : 1,406.72 = 886.24 : x
2. Step 2: Convert to fraction form
   1,020.14/1,406.72 = 886.24/x
3. Step 3: Cross multiply
   1,020.14x = 1,406.72 × 886.24
4. Step 4: Simplify right side
   1,020.14x = 1,246,690.52
5. Step 5: Solve for x
   x = 1,246,690.52/1,020.14
6. Step 6: Final answer
   x = 1,222.07