Finding the Fourth Proportional to 1,742.72, 2,614.19 and 768.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.72 : 2,614.19 = 768.83 : x
2. Step 2: Convert to fraction form
   1,742.72/2,614.19 = 768.83/x
3. Step 3: Cross multiply
   1,742.72x = 2,614.19 × 768.83
4. Step 4: Simplify right side
   1,742.72x = 2,009,850.78
5. Step 5: Solve for x
   x = 2,009,850.78/1,742.72
6. Step 6: Final answer
   x = 1,153.29