Finding the Fourth Proportional to 1,742.59, 2,614.25 and 768.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.59 : 2,614.25 = 768.61 : x
2. Step 2: Convert to fraction form
   1,742.59/2,614.25 = 768.61/x
3. Step 3: Cross multiply
   1,742.59x = 2,614.25 × 768.61
4. Step 4: Simplify right side
   1,742.59x = 2,009,338.69
5. Step 5: Solve for x
   x = 2,009,338.69/1,742.59
6. Step 6: Final answer
   x = 1,153.08