Finding the Fourth Proportional to 1,259.79, 1,738.81 and 762.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.79 : 1,738.81 = 762.76 : x
2. Step 2: Convert to fraction form
   1,259.79/1,738.81 = 762.76/x
3. Step 3: Cross multiply
   1,259.79x = 1,738.81 × 762.76
4. Step 4: Simplify right side
   1,259.79x = 1,326,294.72
5. Step 5: Solve for x
   x = 1,326,294.72/1,259.79
6. Step 6: Final answer
   x = 1,052.79