Finding the Fourth Proportional to 2,565.27, 3,847.05 and 1,004.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.27 : 3,847.05 = 1,004.88 : x
2. Step 2: Convert to fraction form
   2,565.27/3,847.05 = 1,004.88/x
3. Step 3: Cross multiply
   2,565.27x = 3,847.05 × 1,004.88
4. Step 4: Simplify right side
   2,565.27x = 3,865,823.60
5. Step 5: Solve for x
   x = 3,865,823.60/2,565.27
6. Step 6: Final answer
   x = 1,506.99