Finding the Fourth Proportional to 2,498.62, 3,748.29 and 767.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.62 : 3,748.29 = 767.38 : x
2. Step 2: Convert to fraction form
   2,498.62/3,748.29 = 767.38/x
3. Step 3: Cross multiply
   2,498.62x = 3,748.29 × 767.38
4. Step 4: Simplify right side
   2,498.62x = 2,876,340.20
5. Step 5: Solve for x
   x = 2,876,340.20/2,498.62
6. Step 6: Final answer
   x = 1,151.17