Finding the Fourth Proportional to 1,147.95, 1,584.50 and 705.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.95 : 1,584.50 = 705.69 : x
2. Step 2: Convert to fraction form
   1,147.95/1,584.50 = 705.69/x
3. Step 3: Cross multiply
   1,147.95x = 1,584.50 × 705.69
4. Step 4: Simplify right side
   1,147.95x = 1,118,162.28
5. Step 5: Solve for x
   x = 1,118,162.28/1,147.95
6. Step 6: Final answer
   x = 974.05