Finding the Fourth Proportional to 2,564.45, 3,845.14 and 1,002.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.45 : 3,845.14 = 1,002.59 : x
2. Step 2: Convert to fraction form
   2,564.45/3,845.14 = 1,002.59/x
3. Step 3: Cross multiply
   2,564.45x = 3,845.14 × 1,002.59
4. Step 4: Simplify right side
   2,564.45x = 3,855,105.12
5. Step 5: Solve for x
   x = 3,855,105.12/2,564.45
6. Step 6: Final answer
   x = 1,503.29