Finding the Fourth Proportional to 1,162.14, 1,734.38 and 1,084.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.14 : 1,734.38 = 1,084.38 : x
2. Step 2: Convert to fraction form
   1,162.14/1,734.38 = 1,084.38/x
3. Step 3: Cross multiply
   1,162.14x = 1,734.38 × 1,084.38
4. Step 4: Simplify right side
   1,162.14x = 1,880,726.98
5. Step 5: Solve for x
   x = 1,880,726.98/1,162.14
6. Step 6: Final answer
   x = 1,618.33