Finding the Fourth Proportional to 2,564.35, 3,847.15 and 898.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.35 : 3,847.15 = 898.23 : x
2. Step 2: Convert to fraction form
   2,564.35/3,847.15 = 898.23/x
3. Step 3: Cross multiply
   2,564.35x = 3,847.15 × 898.23
4. Step 4: Simplify right side
   2,564.35x = 3,455,625.54
5. Step 5: Solve for x
   x = 3,455,625.54/2,564.35
6. Step 6: Final answer
   x = 1,347.56