Finding the Fourth Proportional to 1,387.02, 1,913.52 and 827.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.02 : 1,913.52 = 827.37 : x
2. Step 2: Convert to fraction form
   1,387.02/1,913.52 = 827.37/x
3. Step 3: Cross multiply
   1,387.02x = 1,913.52 × 827.37
4. Step 4: Simplify right side
   1,387.02x = 1,583,189.04
5. Step 5: Solve for x
   x = 1,583,189.04/1,387.02
6. Step 6: Final answer
   x = 1,141.43