Finding the Fourth Proportional to 1,056.70, 1,456.71 and 706.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.70 : 1,456.71 = 706.78 : x
2. Step 2: Convert to fraction form
   1,056.70/1,456.71 = 706.78/x
3. Step 3: Cross multiply
   1,056.70x = 1,456.71 × 706.78
4. Step 4: Simplify right side
   1,056.70x = 1,029,573.49
5. Step 5: Solve for x
   x = 1,029,573.49/1,056.70
6. Step 6: Final answer
   x = 974.33