Finding the Fourth Proportional to 2,564.10, 3,846.77 and 897.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.10 : 3,846.77 = 897.98 : x
2. Step 2: Convert to fraction form
   2,564.10/3,846.77 = 897.98/x
3. Step 3: Cross multiply
   2,564.10x = 3,846.77 × 897.98
4. Step 4: Simplify right side
   2,564.10x = 3,454,334.39
5. Step 5: Solve for x
   x = 3,454,334.39/2,564.10
6. Step 6: Final answer
   x = 1,347.19