Finding the Fourth Proportional to 1,748.74, 2,413.24 and 1,002.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.74 : 2,413.24 = 1,002.69 : x
2. Step 2: Convert to fraction form
   1,748.74/2,413.24 = 1,002.69/x
3. Step 3: Cross multiply
   1,748.74x = 2,413.24 × 1,002.69
4. Step 4: Simplify right side
   1,748.74x = 2,419,731.62
5. Step 5: Solve for x
   x = 2,419,731.62/1,748.74
6. Step 6: Final answer
   x = 1,383.70