Finding the Fourth Proportional to 2,142.77, 3,213.34 and 755.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.77 : 3,213.34 = 755.85 : x
2. Step 2: Convert to fraction form
   2,142.77/3,213.34 = 755.85/x
3. Step 3: Cross multiply
   2,142.77x = 3,213.34 × 755.85
4. Step 4: Simplify right side
   2,142.77x = 2,428,789.10
5. Step 5: Solve for x
   x = 2,428,789.10/2,142.77
6. Step 6: Final answer
   x = 1,133.48