Finding the Fourth Proportional to 2,564.94, 3,847.32 and 921.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.94 : 3,847.32 = 921.12 : x
2. Step 2: Convert to fraction form
   2,564.94/3,847.32 = 921.12/x
3. Step 3: Cross multiply
   2,564.94x = 3,847.32 × 921.12
4. Step 4: Simplify right side
   2,564.94x = 3,543,843.40
5. Step 5: Solve for x
   x = 3,543,843.40/2,564.94
6. Step 6: Final answer
   x = 1,381.65