Finding the Fourth Proportional to 2,562.50, 3,844.65 and 1,264.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.50 : 3,844.65 = 1,264.88 : x
2. Step 2: Convert to fraction form
   2,562.50/3,844.65 = 1,264.88/x
3. Step 3: Cross multiply
   2,562.50x = 3,844.65 × 1,264.88
4. Step 4: Simplify right side
   2,562.50x = 4,863,020.89
5. Step 5: Solve for x
   x = 4,863,020.89/2,562.50
6. Step 6: Final answer
   x = 1,897.76