Finding the Fourth Proportional to 1,084.10, 1,496.06 and 642.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.10 : 1,496.06 = 642.22 : x
2. Step 2: Convert to fraction form
   1,084.10/1,496.06 = 642.22/x
3. Step 3: Cross multiply
   1,084.10x = 1,496.06 × 642.22
4. Step 4: Simplify right side
   1,084.10x = 960,799.65
5. Step 5: Solve for x
   x = 960,799.65/1,084.10
6. Step 6: Final answer
   x = 886.26