Finding the Fourth Proportional to 2,562.89, 3,844.02 and 1,509.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.89 : 3,844.02 = 1,509.33 : x
2. Step 2: Convert to fraction form
   2,562.89/3,844.02 = 1,509.33/x
3. Step 3: Cross multiply
   2,562.89x = 3,844.02 × 1,509.33
4. Step 4: Simplify right side
   2,562.89x = 5,801,894.71
5. Step 5: Solve for x
   x = 5,801,894.71/2,562.89
6. Step 6: Final answer
   x = 2,263.81