Finding the Fourth Proportional to 2,564.61, 3,847.25 and 921.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.61 : 3,847.25 = 921.34 : x
2. Step 2: Convert to fraction form
   2,564.61/3,847.25 = 921.34/x
3. Step 3: Cross multiply
   2,564.61x = 3,847.25 × 921.34
4. Step 4: Simplify right side
   2,564.61x = 3,544,625.32
5. Step 5: Solve for x
   x = 3,544,625.32/2,564.61
6. Step 6: Final answer
   x = 1,382.13