Finding the Fourth Proportional to 1,084.14, 1,496.30 and 642.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.14 : 1,496.30 = 642.18 : x
2. Step 2: Convert to fraction form
   1,084.14/1,496.30 = 642.18/x
3. Step 3: Cross multiply
   1,084.14x = 1,496.30 × 642.18
4. Step 4: Simplify right side
   1,084.14x = 960,890.72
5. Step 5: Solve for x
   x = 960,890.72/1,084.14
6. Step 6: Final answer
   x = 886.32