Finding the Fourth Proportional to 2,564.50, 3,840.18 and 2,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,840.18 = 2,045.25 : x
2. Step 2: Convert to fraction form
   2,564.50/3,840.18 = 2,045.25/x
3. Step 3: Cross multiply
   2,564.50x = 3,840.18 × 2,045.25
4. Step 4: Simplify right side
   2,564.50x = 7,854,128.15
5. Step 5: Solve for x
   x = 7,854,128.15/2,564.50
6. Step 6: Final answer
   x = 3,062.64