Finding the Fourth Proportional to 1,974.24, 2,964.06 and 1,109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.24 : 2,964.06 = 1,109.16 : x
2. Step 2: Convert to fraction form
   1,974.24/2,964.06 = 1,109.16/x
3. Step 3: Cross multiply
   1,974.24x = 2,964.06 × 1,109.16
4. Step 4: Simplify right side
   1,974.24x = 3,287,616.79
5. Step 5: Solve for x
   x = 3,287,616.79/1,974.24
6. Step 6: Final answer
   x = 1,665.26