Finding the Fourth Proportional to 2,498.05, 3,746.54 and 742.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.05 : 3,746.54 = 742.63 : x
2. Step 2: Convert to fraction form
   2,498.05/3,746.54 = 742.63/x
3. Step 3: Cross multiply
   2,498.05x = 3,746.54 × 742.63
4. Step 4: Simplify right side
   2,498.05x = 2,782,293.00
5. Step 5: Solve for x
   x = 2,782,293.00/2,498.05
6. Step 6: Final answer
   x = 1,113.79