Finding the Fourth Proportional to 1,142.74, 1,577.01 and 700.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.74 : 1,577.01 = 700.89 : x
2. Step 2: Convert to fraction form
   1,142.74/1,577.01 = 700.89/x
3. Step 3: Cross multiply
   1,142.74x = 1,577.01 × 700.89
4. Step 4: Simplify right side
   1,142.74x = 1,105,310.54
5. Step 5: Solve for x
   x = 1,105,310.54/1,142.74
6. Step 6: Final answer
   x = 967.25