Finding the Fourth Proportional to 3,002.57, 4,498.23 and 1,766.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.57 : 4,498.23 = 1,766.29 : x
2. Step 2: Convert to fraction form
   3,002.57/4,498.23 = 1,766.29/x
3. Step 3: Cross multiply
   3,002.57x = 4,498.23 × 1,766.29
4. Step 4: Simplify right side
   3,002.57x = 7,945,156.18
5. Step 5: Solve for x
   x = 7,945,156.18/3,002.57
6. Step 6: Final answer
   x = 2,646.12