Finding the Fourth Proportional to 2,498.08, 3,747.04 and 766.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.08 : 3,747.04 = 766.56 : x
2. Step 2: Convert to fraction form
   2,498.08/3,747.04 = 766.56/x
3. Step 3: Cross multiply
   2,498.08x = 3,747.04 × 766.56
4. Step 4: Simplify right side
   2,498.08x = 2,872,330.98
5. Step 5: Solve for x
   x = 2,872,330.98/2,498.08
6. Step 6: Final answer
   x = 1,149.82