Finding the Fourth Proportional to 1,002.75, 1,384.04 and 610.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.75 : 1,384.04 = 610.10 : x
2. Step 2: Convert to fraction form
   1,002.75/1,384.04 = 610.10/x
3. Step 3: Cross multiply
   1,002.75x = 1,384.04 × 610.10
4. Step 4: Simplify right side
   1,002.75x = 844,402.60
5. Step 5: Solve for x
   x = 844,402.60/1,002.75
6. Step 6: Final answer
   x = 842.09