Finding the Fourth Proportional to 1,386.89, 1,913.86 and 827.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.89 : 1,913.86 = 827.35 : x
2. Step 2: Convert to fraction form
   1,386.89/1,913.86 = 827.35/x
3. Step 3: Cross multiply
   1,386.89x = 1,913.86 × 827.35
4. Step 4: Simplify right side
   1,386.89x = 1,583,432.07
5. Step 5: Solve for x
   x = 1,583,432.07/1,386.89
6. Step 6: Final answer
   x = 1,141.71