Finding the Fourth Proportional to 1,386.58, 1,913.46 and 827.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.58 : 1,913.46 = 827.32 : x
2. Step 2: Convert to fraction form
   1,386.58/1,913.46 = 827.32/x
3. Step 3: Cross multiply
   1,386.58x = 1,913.46 × 827.32
4. Step 4: Simplify right side
   1,386.58x = 1,583,043.73
5. Step 5: Solve for x
   x = 1,583,043.73/1,386.58
6. Step 6: Final answer
   x = 1,141.69