Finding the Fourth Proportional to 1,142.09, 1,566.98 and 1,111.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.09 : 1,566.98 = 1,111.10 : x
2. Step 2: Convert to fraction form
   1,142.09/1,566.98 = 1,111.10/x
3. Step 3: Cross multiply
   1,142.09x = 1,566.98 × 1,111.10
4. Step 4: Simplify right side
   1,142.09x = 1,741,058.09
5. Step 5: Solve for x
   x = 1,741,058.09/1,142.09
6. Step 6: Final answer
   x = 1,524.46