Finding the Fourth Proportional to 1,142.05, 1,575.60 and 749.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.05 : 1,575.60 = 749.29 : x
2. Step 2: Convert to fraction form
   1,142.05/1,575.60 = 749.29/x
3. Step 3: Cross multiply
   1,142.05x = 1,575.60 × 749.29
4. Step 4: Simplify right side
   1,142.05x = 1,180,581.32
5. Step 5: Solve for x
   x = 1,180,581.32/1,142.05
6. Step 6: Final answer
   x = 1,033.74