Finding the Fourth Proportional to 2,142.57, 3,213.15 and 755.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.57 : 3,213.15 = 755.67 : x
2. Step 2: Convert to fraction form
   2,142.57/3,213.15 = 755.67/x
3. Step 3: Cross multiply
   2,142.57x = 3,213.15 × 755.67
4. Step 4: Simplify right side
   2,142.57x = 2,428,081.06
5. Step 5: Solve for x
   x = 2,428,081.06/2,142.57
6. Step 6: Final answer
   x = 1,133.26