Finding the Fourth Proportional to 2,564.89, 3,847.34 and 617.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.89 : 3,847.34 = 617.09 : x
2. Step 2: Convert to fraction form
   2,564.89/3,847.34 = 617.09/x
3. Step 3: Cross multiply
   2,564.89x = 3,847.34 × 617.09
4. Step 4: Simplify right side
   2,564.89x = 2,374,155.04
5. Step 5: Solve for x
   x = 2,374,155.04/2,564.89
6. Step 6: Final answer
   x = 925.64