Finding the Fourth Proportional to 1,265.69, 1,746.74 and 706.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.69 : 1,746.74 = 706.16 : x
2. Step 2: Convert to fraction form
   1,265.69/1,746.74 = 706.16/x
3. Step 3: Cross multiply
   1,265.69x = 1,746.74 × 706.16
4. Step 4: Simplify right side
   1,265.69x = 1,233,484.05
5. Step 5: Solve for x
   x = 1,233,484.05/1,265.69
6. Step 6: Final answer
   x = 974.55