Finding the Fourth Proportional to 2,562.37, 3,841.98 and 1,001.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.37 : 3,841.98 = 1,001.14 : x
2. Step 2: Convert to fraction form
   2,562.37/3,841.98 = 1,001.14/x
3. Step 3: Cross multiply
   2,562.37x = 3,841.98 × 1,001.14
4. Step 4: Simplify right side
   2,562.37x = 3,846,359.86
5. Step 5: Solve for x
   x = 3,846,359.86/2,562.37
6. Step 6: Final answer
   x = 1,501.09