Finding the Fourth Proportional to 2,565.40, 3,847.56 and 922.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.40 : 3,847.56 = 922.04 : x
2. Step 2: Convert to fraction form
   2,565.40/3,847.56 = 922.04/x
3. Step 3: Cross multiply
   2,565.40x = 3,847.56 × 922.04
4. Step 4: Simplify right side
   2,565.40x = 3,547,604.22
5. Step 5: Solve for x
   x = 3,547,604.22/2,565.40
6. Step 6: Final answer
   x = 1,382.87