Finding the Fourth Proportional to 2,498.98, 3,748.23 and 767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.98 : 3,748.23 = 767.50 : x
2. Step 2: Convert to fraction form
   2,498.98/3,748.23 = 767.50/x
3. Step 3: Cross multiply
   2,498.98x = 3,748.23 × 767.50
4. Step 4: Simplify right side
   2,498.98x = 2,876,766.53
5. Step 5: Solve for x
   x = 2,876,766.53/2,498.98
6. Step 6: Final answer
   x = 1,151.18