Finding the Fourth Proportional to 1,264.57, 1,745.04 and 705.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.57 : 1,745.04 = 705.09 : x
2. Step 2: Convert to fraction form
   1,264.57/1,745.04 = 705.09/x
3. Step 3: Cross multiply
   1,264.57x = 1,745.04 × 705.09
4. Step 4: Simplify right side
   1,264.57x = 1,230,410.25
5. Step 5: Solve for x
   x = 1,230,410.25/1,264.57
6. Step 6: Final answer
   x = 972.99