Finding the Fourth Proportional to 2,570.94, 3,855.60 and 1,109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.94 : 3,855.60 = 1,109.16 : x
2. Step 2: Convert to fraction form
   2,570.94/3,855.60 = 1,109.16/x
3. Step 3: Cross multiply
   2,570.94x = 3,855.60 × 1,109.16
4. Step 4: Simplify right side
   2,570.94x = 4,276,477.30
5. Step 5: Solve for x
   x = 4,276,477.30/2,570.94
6. Step 6: Final answer
   x = 1,663.39