Finding the Fourth Proportional to 1,003.62, 1,505.94 and 678.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.62 : 1,505.94 = 678.27 : x
2. Step 2: Convert to fraction form
   1,003.62/1,505.94 = 678.27/x
3. Step 3: Cross multiply
   1,003.62x = 1,505.94 × 678.27
4. Step 4: Simplify right side
   1,003.62x = 1,021,433.92
5. Step 5: Solve for x
   x = 1,021,433.92/1,003.62
6. Step 6: Final answer
   x = 1,017.75