Finding the Fourth Proportional to 2,566.05, 3,846.77 and 922.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.05 : 3,846.77 = 922.23 : x
2. Step 2: Convert to fraction form
   2,566.05/3,846.77 = 922.23/x
3. Step 3: Cross multiply
   2,566.05x = 3,846.77 × 922.23
4. Step 4: Simplify right side
   2,566.05x = 3,547,582.85
5. Step 5: Solve for x
   x = 3,547,582.85/2,566.05
6. Step 6: Final answer
   x = 1,382.51