Finding the Fourth Proportional to 1,741.59, 2,614.05 and 768.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.59 : 2,614.05 = 768.51 : x
2. Step 2: Convert to fraction form
   1,741.59/2,614.05 = 768.51/x
3. Step 3: Cross multiply
   1,741.59x = 2,614.05 × 768.51
4. Step 4: Simplify right side
   1,741.59x = 2,008,923.57
5. Step 5: Solve for x
   x = 2,008,923.57/1,741.59
6. Step 6: Final answer
   x = 1,153.50