Finding the Fourth Proportional to 1,147.69, 1,583.81 and 705.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.69 : 1,583.81 = 705.59 : x
2. Step 2: Convert to fraction form
   1,147.69/1,583.81 = 705.59/x
3. Step 3: Cross multiply
   1,147.69x = 1,583.81 × 705.59
4. Step 4: Simplify right side
   1,147.69x = 1,117,520.50
5. Step 5: Solve for x
   x = 1,117,520.50/1,147.69
6. Step 6: Final answer
   x = 973.71