Finding the Fourth Proportional to 3,111.89, 4,668.53 and 1,164.11

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.89 : 4,668.53 = 1,164.11 : x
2. Step 2: Convert to fraction form
   3,111.89/4,668.53 = 1,164.11/x
3. Step 3: Cross multiply
   3,111.89x = 4,668.53 × 1,164.11
4. Step 4: Simplify right side
   3,111.89x = 5,434,653.30
5. Step 5: Solve for x
   x = 5,434,653.30/3,111.89
6. Step 6: Final answer
   x = 1,746.42