Finding the Fourth Proportional to 1,084.50, 1,496.94 and 642.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.50 : 1,496.94 = 642.37 : x
2. Step 2: Convert to fraction form
   1,084.50/1,496.94 = 642.37/x
3. Step 3: Cross multiply
   1,084.50x = 1,496.94 × 642.37
4. Step 4: Simplify right side
   1,084.50x = 961,589.35
5. Step 5: Solve for x
   x = 961,589.35/1,084.50
6. Step 6: Final answer
   x = 886.67