Finding the Fourth Proportional to 1,084.27, 1,496.34 and 642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.27 : 1,496.34 = 642.16 : x
2. Step 2: Convert to fraction form
   1,084.27/1,496.34 = 642.16/x
3. Step 3: Cross multiply
   1,084.27x = 1,496.34 × 642.16
4. Step 4: Simplify right side
   1,084.27x = 960,889.69
5. Step 5: Solve for x
   x = 960,889.69/1,084.27
6. Step 6: Final answer
   x = 886.21