Finding the Fourth Proportional to 1,414.62, 2,117.63 and 892.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.62 : 2,117.63 = 892.85 : x
2. Step 2: Convert to fraction form
   1,414.62/2,117.63 = 892.85/x
3. Step 3: Cross multiply
   1,414.62x = 2,117.63 × 892.85
4. Step 4: Simplify right side
   1,414.62x = 1,890,710.89
5. Step 5: Solve for x
   x = 1,890,710.89/1,414.62
6. Step 6: Final answer
   x = 1,336.55