Finding the Fourth Proportional to 3,782.67, 5,674.27 and 1,009.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.67 : 5,674.27 = 1,009.32 : x
2. Step 2: Convert to fraction form
   3,782.67/5,674.27 = 1,009.32/x
3. Step 3: Cross multiply
   3,782.67x = 5,674.27 × 1,009.32
4. Step 4: Simplify right side
   3,782.67x = 5,727,149.15
5. Step 5: Solve for x
   x = 5,727,149.15/3,782.67
6. Step 6: Final answer
   x = 1,514.05