Finding the Fourth Proportional to 1,142.92, 1,577.16 and 700.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.92 : 1,577.16 = 700.88 : x
2. Step 2: Convert to fraction form
   1,142.92/1,577.16 = 700.88/x
3. Step 3: Cross multiply
   1,142.92x = 1,577.16 × 700.88
4. Step 4: Simplify right side
   1,142.92x = 1,105,399.90
5. Step 5: Solve for x
   x = 1,105,399.90/1,142.92
6. Step 6: Final answer
   x = 967.17