Finding the Fourth Proportional to 1,387.02, 1,913.96 and 827.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.02 : 1,913.96 = 827.38 : x
2. Step 2: Convert to fraction form
   1,387.02/1,913.96 = 827.38/x
3. Step 3: Cross multiply
   1,387.02x = 1,913.96 × 827.38
4. Step 4: Simplify right side
   1,387.02x = 1,583,576.69
5. Step 5: Solve for x
   x = 1,583,576.69/1,387.02
6. Step 6: Final answer
   x = 1,141.71