Finding the Fourth Proportional to 1,295.31, 1,787.57 and 705.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,295.31 : 1,787.57 = 705.86 : x
2. Step 2: Convert to fraction form
   1,295.31/1,787.57 = 705.86/x
3. Step 3: Cross multiply
   1,295.31x = 1,787.57 × 705.86
4. Step 4: Simplify right side
   1,295.31x = 1,261,761.69
5. Step 5: Solve for x
   x = 1,261,761.69/1,295.31
6. Step 6: Final answer
   x = 974.10