Finding the Fourth Proportional to 2,564.15, 3,841.20 and 1,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.15 : 3,841.20 = 1,872.50 : x
2. Step 2: Convert to fraction form
   2,564.15/3,841.20 = 1,872.50/x
3. Step 3: Cross multiply
   2,564.15x = 3,841.20 × 1,872.50
4. Step 4: Simplify right side
   2,564.15x = 7,192,627.79
5. Step 5: Solve for x
   x = 7,192,627.79/2,564.15
6. Step 6: Final answer
   x = 2,805.08