Finding the Fourth Proportional to 1,084.18, 1,496.84 and 711.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.18 : 1,496.84 = 711.70 : x
2. Step 2: Convert to fraction form
   1,084.18/1,496.84 = 711.70/x
3. Step 3: Cross multiply
   1,084.18x = 1,496.84 × 711.70
4. Step 4: Simplify right side
   1,084.18x = 1,065,301.03
5. Step 5: Solve for x
   x = 1,065,301.03/1,084.18
6. Step 6: Final answer
   x = 982.59