Finding the Fourth Proportional to 1,294.72, 1,786.41 and 735.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.72 : 1,786.41 = 735.06 : x
2. Step 2: Convert to fraction form
   1,294.72/1,786.41 = 735.06/x
3. Step 3: Cross multiply
   1,294.72x = 1,786.41 × 735.06
4. Step 4: Simplify right side
   1,294.72x = 1,313,118.53
5. Step 5: Solve for x
   x = 1,313,118.53/1,294.72
6. Step 6: Final answer
   x = 1,014.21