Finding the Fourth Proportional to 1,264.34, 1,744.78 and 704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.34 : 1,744.78 = 704.78 : x
2. Step 2: Convert to fraction form
   1,264.34/1,744.78 = 704.78/x
3. Step 3: Cross multiply
   1,264.34x = 1,744.78 × 704.78
4. Step 4: Simplify right side
   1,264.34x = 1,229,686.05
5. Step 5: Solve for x
   x = 1,229,686.05/1,264.34
6. Step 6: Final answer
   x = 972.59