Finding the Fourth Proportional to 1,084.53, 1,496.72 and 642.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.53 : 1,496.72 = 642.33 : x
2. Step 2: Convert to fraction form
   1,084.53/1,496.72 = 642.33/x
3. Step 3: Cross multiply
   1,084.53x = 1,496.72 × 642.33
4. Step 4: Simplify right side
   1,084.53x = 961,384.95
5. Step 5: Solve for x
   x = 961,384.95/1,084.53
6. Step 6: Final answer
   x = 886.45