Finding the Fourth Proportional to 1,386.80, 1,914.03 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.80 : 1,914.03 = 827.30 : x
2. Step 2: Convert to fraction form
   1,386.80/1,914.03 = 827.30/x
3. Step 3: Cross multiply
   1,386.80x = 1,914.03 × 827.30
4. Step 4: Simplify right side
   1,386.80x = 1,583,467.45
5. Step 5: Solve for x
   x = 1,583,467.45/1,386.80
6. Step 6: Final answer
   x = 1,141.82