Finding the Fourth Proportional to 1,265.84, 1,746.71 and 706.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.84 : 1,746.71 = 706.34 : x
2. Step 2: Convert to fraction form
   1,265.84/1,746.71 = 706.34/x
3. Step 3: Cross multiply
   1,265.84x = 1,746.71 × 706.34
4. Step 4: Simplify right side
   1,265.84x = 1,233,767.61
5. Step 5: Solve for x
   x = 1,233,767.61/1,265.84
6. Step 6: Final answer
   x = 974.66