Finding the Fourth Proportional to 1,147.82, 1,584.81 and 705.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.82 : 1,584.81 = 705.87 : x
2. Step 2: Convert to fraction form
   1,147.82/1,584.81 = 705.87/x
3. Step 3: Cross multiply
   1,147.82x = 1,584.81 × 705.87
4. Step 4: Simplify right side
   1,147.82x = 1,118,669.83
5. Step 5: Solve for x
   x = 1,118,669.83/1,147.82
6. Step 6: Final answer
   x = 974.61