Finding the Fourth Proportional to 2,498.23, 3,749.65 and 1,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.23 : 3,749.65 = 1,266.50 : x
2. Step 2: Convert to fraction form
   2,498.23/3,749.65 = 1,266.50/x
3. Step 3: Cross multiply
   2,498.23x = 3,749.65 × 1,266.50
4. Step 4: Simplify right side
   2,498.23x = 4,748,931.73
5. Step 5: Solve for x
   x = 4,748,931.73/2,498.23
6. Step 6: Final answer
   x = 1,900.92