Finding the Fourth Proportional to 1,386.52, 1,913.57 and 827.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,386.52 : 1,913.57 = 827.22 : x
2. Step 2: Convert to fraction form
   1,386.52/1,913.57 = 827.22/x
3. Step 3: Cross multiply
   1,386.52x = 1,913.57 × 827.22
4. Step 4: Simplify right side
   1,386.52x = 1,582,943.38
5. Step 5: Solve for x
   x = 1,582,943.38/1,386.52
6. Step 6: Final answer
   x = 1,141.67