Finding the Fourth Proportional to 1,004.47, 1,386.17 and 611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.47 : 1,386.17 = 611.50 : x
2. Step 2: Convert to fraction form
   1,004.47/1,386.17 = 611.50/x
3. Step 3: Cross multiply
   1,004.47x = 1,386.17 × 611.50
4. Step 4: Simplify right side
   1,004.47x = 847,640.98
5. Step 5: Solve for x
   x = 847,640.98/1,004.47
6. Step 6: Final answer
   x = 843.87