Finding the Fourth Proportional to 1,414.08, 1,952.00 and 854.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.08 : 1,952.00 = 854.57 : x
2. Step 2: Convert to fraction form
   1,414.08/1,952.00 = 854.57/x
3. Step 3: Cross multiply
   1,414.08x = 1,952.00 × 854.57
4. Step 4: Simplify right side
   1,414.08x = 1,668,106.61
5. Step 5: Solve for x
   x = 1,668,106.61/1,414.08
6. Step 6: Final answer
   x = 1,179.64