Finding the Fourth Proportional to 1,387.32, 1,914.63 and 827.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.32 : 1,914.63 = 827.81 : x
2. Step 2: Convert to fraction form
   1,387.32/1,914.63 = 827.81/x
3. Step 3: Cross multiply
   1,387.32x = 1,914.63 × 827.81
4. Step 4: Simplify right side
   1,387.32x = 1,584,949.86
5. Step 5: Solve for x
   x = 1,584,949.86/1,387.32
6. Step 6: Final answer
   x = 1,142.45