Finding the Fourth Proportional to 2,498.96, 3,748.20 and 767.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.96 : 3,748.20 = 767.12 : x
2. Step 2: Convert to fraction form
   2,498.96/3,748.20 = 767.12/x
3. Step 3: Cross multiply
   2,498.96x = 3,748.20 × 767.12
4. Step 4: Simplify right side
   2,498.96x = 2,875,319.18
5. Step 5: Solve for x
   x = 2,875,319.18/2,498.96
6. Step 6: Final answer
   x = 1,150.61