Finding the Fourth Proportional to 1,265.82, 1,746.84 and 706.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,265.82 : 1,746.84 = 706.35 : x
2. Step 2: Convert to fraction form
   1,265.82/1,746.84 = 706.35/x
3. Step 3: Cross multiply
   1,265.82x = 1,746.84 × 706.35
4. Step 4: Simplify right side
   1,265.82x = 1,233,880.43
5. Step 5: Solve for x
   x = 1,233,880.43/1,265.82
6. Step 6: Final answer
   x = 974.77