Finding the Fourth Proportional to 1,142.78, 1,577.97 and 700.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.78 : 1,577.97 = 700.79 : x
2. Step 2: Convert to fraction form
   1,142.78/1,577.97 = 700.79/x
3. Step 3: Cross multiply
   1,142.78x = 1,577.97 × 700.79
4. Step 4: Simplify right side
   1,142.78x = 1,105,817.71
5. Step 5: Solve for x
   x = 1,105,817.71/1,142.78
6. Step 6: Final answer
   x = 967.66