Finding the Fourth Proportional to 1,004.09, 1,384.97 and 610.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.09 : 1,384.97 = 610.83 : x
2. Step 2: Convert to fraction form
   1,004.09/1,384.97 = 610.83/x
3. Step 3: Cross multiply
   1,004.09x = 1,384.97 × 610.83
4. Step 4: Simplify right side
   1,004.09x = 845,978.17
5. Step 5: Solve for x
   x = 845,978.17/1,004.09
6. Step 6: Final answer
   x = 842.54