Finding the Fourth Proportional to 1,142.38, 1,577.24 and 700.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.38 : 1,577.24 = 700.73 : x
2. Step 2: Convert to fraction form
   1,142.38/1,577.24 = 700.73/x
3. Step 3: Cross multiply
   1,142.38x = 1,577.24 × 700.73
4. Step 4: Simplify right side
   1,142.38x = 1,105,219.39
5. Step 5: Solve for x
   x = 1,105,219.39/1,142.38
6. Step 6: Final answer
   x = 967.47