Finding the Fourth Proportional to 2,498.76, 3,748.64 and 767.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.76 : 3,748.64 = 767.64 : x
2. Step 2: Convert to fraction form
   2,498.76/3,748.64 = 767.64/x
3. Step 3: Cross multiply
   2,498.76x = 3,748.64 × 767.64
4. Step 4: Simplify right side
   2,498.76x = 2,877,606.01
5. Step 5: Solve for x
   x = 2,877,606.01/2,498.76
6. Step 6: Final answer
   x = 1,151.61