Finding the Fourth Proportional to 1,142.56, 1,577.30 and 700.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.56 : 1,577.30 = 700.71 : x
2. Step 2: Convert to fraction form
   1,142.56/1,577.30 = 700.71/x
3. Step 3: Cross multiply
   1,142.56x = 1,577.30 × 700.71
4. Step 4: Simplify right side
   1,142.56x = 1,105,229.88
5. Step 5: Solve for x
   x = 1,105,229.88/1,142.56
6. Step 6: Final answer
   x = 967.33