Finding the Fourth Proportional to 1,014.57, 1,401.42 and 749.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.57 : 1,401.42 = 749.55 : x
2. Step 2: Convert to fraction form
   1,014.57/1,401.42 = 749.55/x
3. Step 3: Cross multiply
   1,014.57x = 1,401.42 × 749.55
4. Step 4: Simplify right side
   1,014.57x = 1,050,434.36
5. Step 5: Solve for x
   x = 1,050,434.36/1,014.57
6. Step 6: Final answer
   x = 1,035.35