Finding the Fourth Proportional to 1,185.08, 1,769.42 and 1,111.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.08 : 1,769.42 = 1,111.27 : x
2. Step 2: Convert to fraction form
   1,185.08/1,769.42 = 1,111.27/x
3. Step 3: Cross multiply
   1,185.08x = 1,769.42 × 1,111.27
4. Step 4: Simplify right side
   1,185.08x = 1,966,301.91
5. Step 5: Solve for x
   x = 1,966,301.91/1,185.08
6. Step 6: Final answer
   x = 1,659.21