Finding the Fourth Proportional to 1,414.06, 1,950.81 and 854.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.06 : 1,950.81 = 854.53 : x
2. Step 2: Convert to fraction form
   1,414.06/1,950.81 = 854.53/x
3. Step 3: Cross multiply
   1,414.06x = 1,950.81 × 854.53
4. Step 4: Simplify right side
   1,414.06x = 1,667,025.67
5. Step 5: Solve for x
   x = 1,667,025.67/1,414.06
6. Step 6: Final answer
   x = 1,178.89