Finding the Fourth Proportional to 2,498.80, 3,748.61 and 1,265.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.80 : 3,748.61 = 1,265.71 : x
2. Step 2: Convert to fraction form
   2,498.80/3,748.61 = 1,265.71/x
3. Step 3: Cross multiply
   2,498.80x = 3,748.61 × 1,265.71
4. Step 4: Simplify right side
   2,498.80x = 4,744,653.16
5. Step 5: Solve for x
   x = 4,744,653.16/2,498.80
6. Step 6: Final answer
   x = 1,898.77