Finding the Fourth Proportional to 1,414.58, 1,952.82 and 917.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.58 : 1,952.82 = 917.61 : x
2. Step 2: Convert to fraction form
   1,414.58/1,952.82 = 917.61/x
3. Step 3: Cross multiply
   1,414.58x = 1,952.82 × 917.61
4. Step 4: Simplify right side
   1,414.58x = 1,791,927.16
5. Step 5: Solve for x
   x = 1,791,927.16/1,414.58
6. Step 6: Final answer
   x = 1,266.76