Finding the Fourth Proportional to 1,142.70, 1,577.04 and 700.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.70 : 1,577.04 = 700.72 : x
2. Step 2: Convert to fraction form
   1,142.70/1,577.04 = 700.72/x
3. Step 3: Cross multiply
   1,142.70x = 1,577.04 × 700.72
4. Step 4: Simplify right side
   1,142.70x = 1,105,063.47
5. Step 5: Solve for x
   x = 1,105,063.47/1,142.70
6. Step 6: Final answer
   x = 967.06