Finding the Fourth Proportional to 1,265.72, 1,746.72 and 706.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.72 : 1,746.72 = 706.23 : x
2. Step 2: Convert to fraction form
   1,265.72/1,746.72 = 706.23/x
3. Step 3: Cross multiply
   1,265.72x = 1,746.72 × 706.23
4. Step 4: Simplify right side
   1,265.72x = 1,233,586.07
5. Step 5: Solve for x
   x = 1,233,586.07/1,265.72
6. Step 6: Final answer
   x = 974.62