Finding the Fourth Proportional to 1,142.24, 1,576.31 and 700.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.24 : 1,576.31 = 700.38 : x
2. Step 2: Convert to fraction form
   1,142.24/1,576.31 = 700.38/x
3. Step 3: Cross multiply
   1,142.24x = 1,576.31 × 700.38
4. Step 4: Simplify right side
   1,142.24x = 1,104,012.50
5. Step 5: Solve for x
   x = 1,104,012.50/1,142.24
6. Step 6: Final answer
   x = 966.54