Finding the Fourth Proportional to 1,748.32, 2,413.10 and 1,002.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.32 : 2,413.10 = 1,002.71 : x
2. Step 2: Convert to fraction form
   1,748.32/2,413.10 = 1,002.71/x
3. Step 3: Cross multiply
   1,748.32x = 2,413.10 × 1,002.71
4. Step 4: Simplify right side
   1,748.32x = 2,419,639.50
5. Step 5: Solve for x
   x = 2,419,639.50/1,748.32
6. Step 6: Final answer
   x = 1,383.98