Finding the Fourth Proportional to 1,147.78, 1,584.02 and 705.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.78 : 1,584.02 = 705.83 : x
2. Step 2: Convert to fraction form
   1,147.78/1,584.02 = 705.83/x
3. Step 3: Cross multiply
   1,147.78x = 1,584.02 × 705.83
4. Step 4: Simplify right side
   1,147.78x = 1,118,045.31
5. Step 5: Solve for x
   x = 1,118,045.31/1,147.78
6. Step 6: Final answer
   x = 974.10