Finding the Fourth Proportional to 1,288.43, 1,935.72 and 827.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.43 : 1,935.72 = 827.10 : x
2. Step 2: Convert to fraction form
   1,288.43/1,935.72 = 827.10/x
3. Step 3: Cross multiply
   1,288.43x = 1,935.72 × 827.10
4. Step 4: Simplify right side
   1,288.43x = 1,601,034.01
5. Step 5: Solve for x
   x = 1,601,034.01/1,288.43
6. Step 6: Final answer
   x = 1,242.62