Finding the Fourth Proportional to 2,142.68, 3,213.76 and 756.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.68 : 3,213.76 = 756.06 : x
2. Step 2: Convert to fraction form
   2,142.68/3,213.76 = 756.06/x
3. Step 3: Cross multiply
   2,142.68x = 3,213.76 × 756.06
4. Step 4: Simplify right side
   2,142.68x = 2,429,795.39
5. Step 5: Solve for x
   x = 2,429,795.39/2,142.68
6. Step 6: Final answer
   x = 1,134.00