Finding the Fourth Proportional to 2,564.67, 3,846.98 and 715.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.67 : 3,846.98 = 715.78 : x
2. Step 2: Convert to fraction form
   2,564.67/3,846.98 = 715.78/x
3. Step 3: Cross multiply
   2,564.67x = 3,846.98 × 715.78
4. Step 4: Simplify right side
   2,564.67x = 2,753,591.34
5. Step 5: Solve for x
   x = 2,753,591.34/2,564.67
6. Step 6: Final answer
   x = 1,073.66