Finding the Fourth Proportional to 1,003.65, 1,385.01 and 610.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.65 : 1,385.01 = 610.71 : x
2. Step 2: Convert to fraction form
   1,003.65/1,385.01 = 610.71/x
3. Step 3: Cross multiply
   1,003.65x = 1,385.01 × 610.71
4. Step 4: Simplify right side
   1,003.65x = 845,839.46
5. Step 5: Solve for x
   x = 845,839.46/1,003.65
6. Step 6: Final answer
   x = 842.76