Finding the Fourth Proportional to 1,142.40, 1,576.56 and 700.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.40 : 1,576.56 = 700.20 : x
2. Step 2: Convert to fraction form
   1,142.40/1,576.56 = 700.20/x
3. Step 3: Cross multiply
   1,142.40x = 1,576.56 × 700.20
4. Step 4: Simplify right side
   1,142.40x = 1,103,907.31
5. Step 5: Solve for x
   x = 1,103,907.31/1,142.40
6. Step 6: Final answer
   x = 966.31