Finding the Fourth Proportional to 1,055.25, 1,456.29 and 705.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.25 : 1,456.29 = 705.87 : x
2. Step 2: Convert to fraction form
   1,055.25/1,456.29 = 705.87/x
3. Step 3: Cross multiply
   1,055.25x = 1,456.29 × 705.87
4. Step 4: Simplify right side
   1,055.25x = 1,027,951.42
5. Step 5: Solve for x
   x = 1,027,951.42/1,055.25
6. Step 6: Final answer
   x = 974.13