Finding the Fourth Proportional to 1,142, 1,704.55 and 1,114.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142 : 1,704.55 = 1,114.37 : x
2. Step 2: Convert to fraction form
   1,142/1,704.55 = 1,114.37/x
3. Step 3: Cross multiply
   1,142x = 1,704.55 × 1,114.37
4. Step 4: Simplify right side
   1,142x = 1,899,499.38
5. Step 5: Solve for x
   x = 1,899,499.38/1,142
6. Step 6: Final answer
   x = 1,663.31