Finding the Fourth Proportional to 1,084.17, 1,496.10 and 642.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.17 : 1,496.10 = 642.12 : x
2. Step 2: Convert to fraction form
   1,084.17/1,496.10 = 642.12/x
3. Step 3: Cross multiply
   1,084.17x = 1,496.10 × 642.12
4. Step 4: Simplify right side
   1,084.17x = 960,675.73
5. Step 5: Solve for x
   x = 960,675.73/1,084.17
6. Step 6: Final answer
   x = 886.09