Finding the Fourth Proportional to 1,003.40, 1,385.06 and 610.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.40 : 1,385.06 = 610.44 : x
2. Step 2: Convert to fraction form
   1,003.40/1,385.06 = 610.44/x
3. Step 3: Cross multiply
   1,003.40x = 1,385.06 × 610.44
4. Step 4: Simplify right side
   1,003.40x = 845,496.03
5. Step 5: Solve for x
   x = 845,496.03/1,003.40
6. Step 6: Final answer
   x = 842.63