Finding the Fourth Proportional to 1,265.65, 1,746.61 and 706.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.65 : 1,746.61 = 706.15 : x
2. Step 2: Convert to fraction form
   1,265.65/1,746.61 = 706.15/x
3. Step 3: Cross multiply
   1,265.65x = 1,746.61 × 706.15
4. Step 4: Simplify right side
   1,265.65x = 1,233,373.04
5. Step 5: Solve for x
   x = 1,233,373.04/1,265.65
6. Step 6: Final answer
   x = 974.50