Finding the Fourth Proportional to 2,561.76, 3,836.16 and 1,464.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.76 : 3,836.16 = 1,464.22 : x
2. Step 2: Convert to fraction form
   2,561.76/3,836.16 = 1,464.22/x
3. Step 3: Cross multiply
   2,561.76x = 3,836.16 × 1,464.22
4. Step 4: Simplify right side
   2,561.76x = 5,616,982.20
5. Step 5: Solve for x
   x = 5,616,982.20/2,561.76
6. Step 6: Final answer
   x = 2,192.63