Finding the Fourth Proportional to 1,147.75, 1,583.37 and 705.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.75 : 1,583.37 = 705.49 : x
2. Step 2: Convert to fraction form
   1,147.75/1,583.37 = 705.49/x
3. Step 3: Cross multiply
   1,147.75x = 1,583.37 × 705.49
4. Step 4: Simplify right side
   1,147.75x = 1,117,043.78
5. Step 5: Solve for x
   x = 1,117,043.78/1,147.75
6. Step 6: Final answer
   x = 973.25