Finding the Fourth Proportional to 1,414.32, 1,952.33 and 854.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.32 : 1,952.33 = 854.82 : x
2. Step 2: Convert to fraction form
   1,414.32/1,952.33 = 854.82/x
3. Step 3: Cross multiply
   1,414.32x = 1,952.33 × 854.82
4. Step 4: Simplify right side
   1,414.32x = 1,668,890.73
5. Step 5: Solve for x
   x = 1,668,890.73/1,414.32
6. Step 6: Final answer
   x = 1,180.00