Finding the Fourth Proportional to 1,002.86, 1,384.19 and 610.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.86 : 1,384.19 = 610.15 : x
2. Step 2: Convert to fraction form
   1,002.86/1,384.19 = 610.15/x
3. Step 3: Cross multiply
   1,002.86x = 1,384.19 × 610.15
4. Step 4: Simplify right side
   1,002.86x = 844,563.53
5. Step 5: Solve for x
   x = 844,563.53/1,002.86
6. Step 6: Final answer
   x = 842.15