Finding the Fourth Proportional to 1,748.77, 2,413.46 and 1,002.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.77 : 2,413.46 = 1,002.82 : x
2. Step 2: Convert to fraction form
   1,748.77/2,413.46 = 1,002.82/x
3. Step 3: Cross multiply
   1,748.77x = 2,413.46 × 1,002.82
4. Step 4: Simplify right side
   1,748.77x = 2,420,265.96
5. Step 5: Solve for x
   x = 2,420,265.96/1,748.77
6. Step 6: Final answer
   x = 1,383.98