Finding the Fourth Proportional to 1,387.35, 1,914.17 and 827.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.35 : 1,914.17 = 827.56 : x
2. Step 2: Convert to fraction form
   1,387.35/1,914.17 = 827.56/x
3. Step 3: Cross multiply
   1,387.35x = 1,914.17 × 827.56
4. Step 4: Simplify right side
   1,387.35x = 1,584,086.39
5. Step 5: Solve for x
   x = 1,584,086.39/1,387.35
6. Step 6: Final answer
   x = 1,141.81